What would the surface area be if the length is 13 inches, the width is 7.5 inches and the height is 7.5 inches. The triangle hypotenuse is 10.61 inches. Round to the nearest hundredth if necessary.

Answer 1

To find the surface area of the rectangular prism, we need to calculate the area of each of the six faces and then sum them up.

The surface area of a rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh

Given:
Length (l) = 13 inches
Width (w) = 7.5 inches
Height (h) = 7.5 inches

Substitute the given values into the formula:
Surface Area = 2(13)(7.5) + 2(13)(7.5) + 2(7.5)(7.5)
Surface Area = 195 + 195 + 112.5
Surface Area = 502.5 square inches

Therefore, the surface area of the rectangular prism is 502.5 square inches.