First, we need to find the volume of Box B:
Volume of Box B = length x width x height = 16 cm x 8 cm x 10 cm = 1280 cm^3
Since the volume of Box A is 40% of the volume of Box B, the volume of Box A is:
Volume of Box A = 0.4 x 1280 cm^3 = 512 cm^3
We know that the base of Box A is 32 cm, so we can use this information to find the height of Box A. The formula for the volume of a box is:
Volume of Box = base x height
Substituting the values we know, we get:
512 cm^3 = 32 cm x height
Solving for height, we get:
height = 512 cm^3 รท 32 cm = 16 cm
Therefore, the height of Box A is 16 cm.
Box B length is 16 cm, width is 8 cm and height is 10 cm
The volume of box A is 40% of the volume of Box B. What is the height of Box A if the base is 32 cm?
1 answer