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Cogito

Grade 7 Math · Chapter 8 · Lesson 2

Practice Worksheet

Volume and Surface Area of Prisms

Base area times height, whatever the base.

10 problems · about 18 minutes · 7.G.B.6

NameDate

Figure — use these to answer the problems

The tinted base repeats for every layer of height.
  • Cubes in one layer4 × 3 = 12
  • Layers3
  • 4 × 3 × 336 cubic units
Length4
Width3
Height3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Angle Pairs”

    Supplementary to 47?

    Answer

  2. From “Telling Area from Circumference”

    Edging a round rug. 1 for circumference, 2 for area.

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Base area 18, height 7. Volume?

    Answer

  2. What is the volume of any prism?

    • Base area times height.
    • Always length times width times height.

  3. Base area 20, height 6. Volume?

    Answer

  4. Triangle base 8, triangle height 5. What is the base area?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Base area 12, height 9. Volume?

    Answer

  2. A cube with edge 4. Volume?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Tent

    A triangular base of area 15 and a length of 8. What is the volume?

    Answercubic units

  2. The Box

    A box 6 by 4 by 5. What is the volume?

    Answercubic units