Spectrum Math Grade 7 Chapter 5 Lesson 11 Answer Key Volume: Rectangular Prisms

This handy Spectrum Math Grade 7 Answer Key Chapter 5 Lesson 5.11 Volume: Rectangular Prisms provides detailed answers for the workbook questions

Spectrum Math Grade 7 Chapter 5 Lesson 5.11 Volume: Rectangular Prisms Answers Key

Volume is the amount of space a solid (three-dimensional) figure occupies. You can calculate the volume of a rectangular solid by multiplying the area of its base by its height: V = Bh.

The area of the base is found by multiplying length and width. B = l × w, so the volume can be found by using the formula V = l × w × h.
If l = 10 m, w = 11 m, and h = 7 m, what is the volume of the solid?
V = 10 × 11 × 7 V = 770 m³ or 770 cubic meters.
Because the measure is in 3 dimensions, it is measured in cubic units or units³.

Find the volume of each rectangular solid.

Question 1.
a.

V = _____________ cm³
Answer:
V = 2,340 cm³

Explanation:
V = l × w × h.
l = 12 cm, w = 15 cm, and h = 13 cm,
V = 12 × 15 × 13
V = 180 x 13
V = 2,340 cm³

b.

V = ______________ mm³
Answer:
V = 3,600 mm³

Explanation:
V = l × w × h.
l = 20 mm, w = 18 mm, and h = 10 mm,
V = 20 × 18 × 10
V = 360 x 10
V = 3,600 mm³

c.

V = ______________ cm³
Answer:
V = 968 cm³

Explanation:
V = l × w × h.
l = 8 cm, w = 11 cm, and h = 11 cm,
V = 8 × 11 × 11
V = 88 x 11
V = 968 cm³

Question 2.
a.

V = ______________ ft.³
Answer:
V = 300 ft³

Explanation:
V = l × w × h.
l = 5 ft, w = 8 ft, and h = 7.5 ft,
V = 5 × 8 × 7.5
V = 40 x 7.5
V = 300 ft³

b.

V = ______________ in.³
Answer:
V = 324 in³

Explanation:
V = l × w × h.
l = 6 in, w = 6 in, and h = 9 in,
V = 6 × 6 × 9
V = 36 x 9
V = 324 in³

c.

V = ______________ ft.³
Answer:
V = 1,728 ft³

Explanation:
V = l × w × h.
l = 12 ft, w = 12 ft, and h = 12 ft,
V = 12 × 12 × 12
V = 144 x 12
V = 1,728 ft³

Question 3.
a.

V = _______________ m³
Answer:
V = 1,056 m³

Explanation:
V = l × w × h.
l = 8 m, w = 12 m, and h = 11 m,
V = 8 × 12 × 11
V = 96 x 11
V = 1,056 m³

b.

V = _______________ in.³
Answer:
V = 648 in³

Explanation:
V = l × w × h.
l = 6 in, w = 9 in, and h = 12 in,
V = 6 × 9 × 12
V = 54 x 12
V = 648 in³

c.

V = ________________ m³
Answer:
V = 375 m³

Explanation:
V = l × w × h.
l = 5 m, w = 15 m, and h = 5 m,
V = 5 × 15 × 5
V = 75 x 5
V = 375 m³