The volume V of a rectangular prism of a particular height varies jointly as the

length I and the width w, and V = 224 ft when I = 8ft and w = 4 ft.

Find I when V = 210 ft' and w = 5ft.

Question

Josue Rollins

Mathematics

8 October, 00:27

The volume V of a rectangular prism of a particular height varies jointly as the

length I and the width w, and V = 224 ft when I = 8ft and w = 4 ft.

Find I when V = 210 ft' and w = 5ft.

+2

Answers (1)

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Cora · Answer 1

6ft

Step-by-step explanation:

Volume of rectangular prism = l x w x h, where h is height. So, we have to work out the height of the first prism in the following way. 224 divided by (8 x 4), which gives 7. So, to find l in the second prism, we have to:

L x W x H = 210

L x 5 x 7 = 210

L x 35 = 210

L = 210 divided by 35 = 6

The volume V of a rectangular prism of a particular height varies jointly as thelength I and the width w, and V = 224 ft when I = 8ft and w = 4 ft.Find I when V = 210 ft' and w = 5ft.

The volume V of a rectangular prism of a particular height varies jointly as the

length I and the width w, and V = 224 ft when I = 8ft and w = 4 ft.

Find I when V = 210 ft' and w = 5ft.