Question

The value of the figure's surface area is equal to the value of the figure's volume find the value of x. the picture is of rectangular prism with a base that equals 10in the width is 3in and the heigt is x

Answer 1

Surface are of a rectangular prism = 2(l x w + l x h + w x h) = 2(10 x 3 + 10x + 3x) = 2(30 + 13x) = 60 + 26x

Volume of a rectangular prism = l x w x h = 10 * 3 * x = 30x

Since surface area = volume
60 + 26x = 30x
4x = 60
x = 15 in