Two prisms with equal altitudes have equal volumes the base of one prism is a square with a side length of 5 inches the base of the second prism is a rectangle with a side length of 10 inches determine and state in inches the measure of the width of the rectangle.

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Mathematics

Apple

17 June, 18:50

Two prisms with equal altitudes have equal volumes the base of one prism is a square with a side length of 5 inches the base of the second prism is a rectangle with a side length of 10 inches determine and state in inches the measure of the width of the rectangle.

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King Mccormick · Answer 1

2.5 inches

Step-by-step explanation:

For the same-height prisms to have equal volumes, their base areas must be the same. If x is the unknown dimension of the rectangle, this requires ...

(5 in) ^2 = (10 in) x

x = (25 in^2) / (10 in) = 2.5 in

The width of the rectangle is 2.5 inches.