Question

13 A box is in the shape of a cuboid 32 cm by 20 cm by 8 cm.

Box
32 cm
Sam has 75 bricks.
Each brick is a cube of side length 4 cm.
Can Sam fit all 75 bricks into the box?
You must show how you get your answer.

8 cm
20 cm
Brick
4 cm

Answer 1

Yes.

Explanation:

Volume of box:

32 × 20 × 8 = 5,120 cubic centimeters

Volume of each brick:

4^3 = 64 cubic centimeters

5,120 ÷ 64 = 80 bricks

So Sam can fit all 75 bricks into the box.