A storage container is a rectangular prism that is 65 centimeters long and 40 centimeters wide. The volume of the container is 62,400 cubic centimeters. What is the height of the container?

Question

Theodore Abad · Accepted Answer

Please look below.

The volume of a rectangular prism can be determined with the following formula: #V = abc # You are given the length of two sides #a = 65# #cm#, #b = 40# #cm#, and the volume of the rectangular prism #V = 62,400# #cm^3#. Substituting these values into the formula and then rearranging gives you the value of the third side. #62400 = 65 xx 40 xx c# #(62400)/(65xx40) = c# # c= 24# #cm# So the height of the rectangular prism is #24# #cm#.

Sophia Alfred · Answer

undefined To find the height of the container, we can use the formula for the volume of a rectangular prism:

Volume = length × width × height

Given:
Length = 65 cm
Width = 40 cm
Volume = 62,400 cubic cm

Substituting the given values into the formula, we can solve for the height:

62,400 = 65 × 40 × height

Divide both sides of the equation by (65 × 40) to isolate the height:

height = 62,400 / (65 × 40)

Calculate the value:

height = 62,400 / (2600)
height ≈ 24 cm

Therefore, the height of the container is approximately 24 centimeters.