Estimating answers (age 10+)

Question 1

What is the volume of a rectangular box that is 4 cm long, 3 cm wide, and 5 cm high?

Accepted Answer

60 cm³

Answer

12 cm³

Answer

45 cm³

Answer

20 cm³

Question 2

Which rectangular prism has the larger volume? A) 6 cm × 4 cm × 3 cm B) 5 cm × 5 cm × 3 cm C) They have the same volume D) Not enough information

Accepted Answer

B) 5 cm × 5 cm × 3 cm

Answer

A) 6 cm × 4 cm × 3 cm

Answer

C) They have the same volume

Answer

D) Not enough information

Question 3

If a rectangular prism is 4 cm long, 3 cm wide, and 5 cm high, we can fill it completely with 1‑cm³ unit cubes. Why does the number of cubes that fit equal 4 × 3 × 5?

Accepted Answer

Because the cubes line up along each edge, so the total number is (cubes along length) × (cubes along width) × (cubes along height).

Answer

Because the surface area of the prism (2 × (l·w + l·h + w·h)) tells us how many cubes fit inside.

Answer

Because the volume is the same as the perimeter of the base multiplied by the height.

Answer

Because the cubes first fill the edges, and the rest of the space is automatically filled.

Try three questions

What is the volume of a rectangular box that is 4 cm long, 3 cm wide, and 5 cm high?

Which rectangular prism has the larger volume? A) 6 cm × 4 cm × 3 cm B) 5 cm × 5 cm × 3 cm C) They have the same volume D) Not enough information

If a rectangular prism is 4 cm long, 3 cm wide, and 5 cm high, we can fill it completely with 1‑cm³ unit cubes. Why does the number of cubes that fit equal 4 × 3 × 5?

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