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 recta

Question

azamat

3 years ago

9

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 recta

ngular prism with a base that equals 10in the width is 3in and the heigt is x

Mathematics

1 answer:

emmasim [6.3K] · Answer 1 · 2022-02-11T11:06:16+03:00

emmasim [6.3K]3 years ago

7 0

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