Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 8 Lesson 8.7 Calculating Volume regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 8 Lesson 8.7 Calculating Volume Answers Key
Volume is the number of cubic units needed to fill a given solid.
Length: 4 in.
Width: 2 in.
Height: 3 in.
Volume = length × width × height
Volume = (4 in.) × (2 in.) × (3 ¡n.)
Volume = 24 cubic inches
Find the volume of each rectangular solid.
Question 1.
a.
V = ___________ cu. in.
Answer:
V = 8 cu. in.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 2 in; Width: 2 in; Height: 2 in.
Volume = length × width × height
Volume = (2 in.) × (2 in.) × (2 in.)
Volume = 8 cubic inches.
b.
V = ____________ cu. yd.
Answer:
V = 48 cu. yd.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 8 yd; Width: 3 yd; Height: 2 yd.
Volume = length × width × height
Volume = (8 yd.) × (3 yd.) × (2 yd.)
Volume = 48 cubic yards.
c.
V = _____________ cu. ft.
Answer:
V = 15 cu. ft.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 3 ft; Width: 1 ft; Height: 5ft.
Volume = length × width × height
Volume = (3 ft.) × (1 ft.) × (5 ft.)
Volume = 15 cubic feet.
Question 2.
a.
V = ______________ cu. yd.
Answer:
V = 36 cu. yd.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 4 yd; Width: 3 yd; Height: 3 yd.
Volume = length × width × height
Volume = (4 yd.) × (3 yd.) × (3 yd.)
Volume = 36 cubic yards.
b.
V = ______________ cu. ft.
Answer:
V = 126 cu. ft.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 9 ft; Width: 2 ft; Height: 7 ft.
Volume = length × width × height
Volume = (9 ft.) × (2 ft.) × (7 ft.)
Volume = 126 cubic feet.
c.
V = ______________ cu. ft.
Answer:
V = 90 cu. ft.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 6 ft; Width: 5 ft; Height: 3ft.
Volume = length × width × height
Volume = (6 ft.) × (5 ft.) × (3 ft.)
Volume = 90 cubic feet.
Question 3.
a.
V = _____________ cu. in.
Answer:
V = 112 cu. in.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 7 in; Width: 2 in; Height: 8 in.
Volume = length × width × height
Volume = (7 in.) × (2 in.) × (8 in.)
Volume = 112 cubic inches.
b.
V = _____________ cu. yd.
Answer:
V = 60 cu. yd.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 7 yd; Width: 3 yd; Height: 9 yd.
Volume = length × width × height
Volume = (7 yd.) × (3 yd.) × (9 yd.)
Volume = 60 cubic yards.
c.
V = ____________ cu. ft.
Answer:
V = 189 cu. ft.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 7 ft; Width: 3 ft; Height: 9ft.
Volume = length × width × height
Volume = (7 ft.) × (3 ft.) × (9 ft.)
Volume = 189 cubic feet.
Find the volume of each rectangular solid.
Question 1.
a.
V = ____________ cu. cm.
Answer:
V = 8 cu. cm.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 2 cm; Width: 2 cm; Height: 2 cm.
Volume = length × width × height
Volume = (2 cm.) × (2 cm.) × (2 cm.)
Volume = 8 cubic cm.
b.
V = ____________ cu. m.
Answer:
V = 60 cu. m.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 4 m; Width: 3 m; Height: 5 m.
Volume = length × width × height
Volume = (4m.) × (3m.) × (5m.)
Volume = 60 cubic m.
c.
V = ____________ cu. m.
Answer:
V = 36 cu. m.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 6 m; Width: 3 m; Height: 2 m.
Volume = length × width × height
Volume = (6m.) × (3m.) × (2m.)
Volume = 36 cubic m.
Question 2.
a.
V = ____________ cu. cm.
Answer:
V = 42 cu. cm.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 7 cm; Width: 2 cm; Height: 3 cm.
Volume = length × width × height
Volume = (7 cm.) × (2 cm.) × (3 cm.)
Volume = 42 cubic cm.
b.
V = ____________ cu. cm.
Answer:
V = 144 cu. cm.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 9 cm; Width: 2 cm; Height: 8 cm.
Volume = length × width × height
Volume = (9 cm.) × (2 cm.) × (8 cm.)
Volume = 144 cubic cm.
c.
V = _____________ cu. m.
Answer:
V = 54 cu. m.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 3 m; Width: 2 m; Height: 9 m.
Volume = length × width × height
Volume = (3 cm.) × (2 cm.) × (9 cm.)
Volume = 54 cubic cm.
Question 3.
a.
V = _____________ cu. m.
Answer:
V = 24 cu. m.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 6 m; Width: 2 m; Height: 2 m.
Volume = length × width × height
Volume = (6 m.) × (2 m.) × (2 m.)
Volume = 24 cubic m.
b.
V = _____________ cu. m
Answer:
V = 100 cu. m.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 5 m; Width: 2 m; Height: 10 m.
Volume = length × width × height
Volume = (5 m.) × (2 m.) × (10 m.)
Volume = 100 cubic m.
c.
V = ____________ cu. m
Answer:
V = 216 cu. m.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 6 m; Width: 6 m; Height: 6 m.
Volume = length × width × height
Volume = (6 m.) × (6 m.) × (6 m.)
Volume = 216 cubic m.
Use the dimensions given to find the volume of the figures.
Question 1.
a. Length = 12 centimeters
Width = 4 centimeters
Height = 6 centimeters
V = ____________ cu. cm.
Answer:
V = 288 cu. cm.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 12 cm; Width: 4 cm; Height: 6 cm.
Volume = length × width × height
Volume = (12 cm.) × (4 cm.) × (6 cm.)
Volume = 288 cubic cm.
b. Length = 4 centimeters
Width = 11 centimeters
Height = 6 centimeters
V = ____________ cu. cm.
Answer:
V = 264 cu. cm.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 4 cm; Width: 11 cm; Height: 6 cm.
Volume = length × width × height
Volume = (4 cm.) × (11 cm.) × (6 cm.)
Volume = 264 cubic cm.
Question 2.
a. Length = 4 centimeters
Width = 10 centimeters
Height = 5 centimeters
V = ____________ cu. m.
Answer:
V = 200 cu. m.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 4 cm; Width: 10 cm; Height: 5 cm.
Volume = length × width × height
Volume = (4 cm.) × (10 cm.) × (5 cm.)
Volume = 200 cubic cm.
b. Length = 2 inches
Width = 6 inches
Height = 4 inches
V = ____________ cu. in.
Answer:
V = 48 cu. in.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 2 in; Width: 6 in; Height: 4 in.
Volume = length × width × height
Volume = (2 in.) × (6 in.) × (4 in.)
Volume = 48 cubic in.
Question 3.
a. Length = 3 feet
Width = 2 feet
Height = 6 feet
V = ____________ cu. ft.
Answer:
V = 36 cu. ft.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 3 ft; Width: 2 ft; Height: 6 ft.
Volume = length × width × height
Volume = (3 ft.) × (2 ft.) × (6 ft.)
Volume = 36 cubic ft.
b. Length = 12 inches
Width = 8 inches
Height = 4 inches
V = ____________ cu. in.
Answer:
V = 384 cu. in.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 12 in; Width: 8 in; Height: 4 in.
Volume = length × width × height
Volume = (12 in.) × (8 in.) × (4 in.)
Volume = 384 cubic in.
Question 4.
a. Length = 10 inches
Width = 6 inches
Height = 2 inches
V = ____________ cu. in.
Answer:
V = 120 cu. in.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 10 in; Width: 6 in; Height: 2 in.
Volume = length × width × height
Volume = (10 in.) × (6 in.) × (2 in.)
Volume = 120 cubic in.
b. Length = 6 inches
Width = 9 inches
Height = 5 inches
V = ____________ cu. in.
Answer:
V = 270 cu. in.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 6 in; Width: 9 in; Height: 5 in.
Volume = length × width × height
Volume = (6 in.) × (9 in.) × (5 in.)
Volume = 270 cubic in.
Question 5.
a. Length = 8 inches
Width = 5 inches
Height = 3 inches
V = ____________ cu. in.
Answer:
V = 120 cu. in.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 8 in; Width: 5 in; Height: 3 in.
Volume = length × width × height
Volume = (8 in.) × (5 in.) × (3 in.)
Volume = 120 cubic in.
b. Length = 12 meters
Width = 8 meters
Height = 3 meters
V = ____________ cu. m.
Answer:
V = 288 cu. m.
Explanation:
We know that,
Volume is the number of cubic units needed to fill a given solid.
Given,
Length: 12 m; Width: 8 m; Height: 3 m.
Volume = length × width × height
Volume = (12 m.) × (8 m.) × (3 m.)
Volume = 288 cubic m.
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