A rectangular prism has a base with an area of 16 centimeters. A box with a volume of 320 cubric centimeters can hold 4 of the rectangular prisms with no extra space.

What is the height of the rectangular prism?​

Respuesta :

The height of the rectangular prism is 5 cm

The rectangular prism has a base area of 16 cm².

Volume of rectangular prism;

  • V = base area × height

Therefore,

V = 16h

where

h = height of the rectangular prism

Another box has a volume of 320 cm³ and holds 4 of the rectangular prism with no extra space.

Therefore,

4(16h) = 320

64h = 320

divide both sides by 64

64h / 64 = 320 / 64

h = 5

Therefore, the height of the rectangular prism is 5 cm

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