Question

A prism has a volume of 405 cubic inches. A prism has a length of 15 inches, height of h, and width of 4.5 inches. Which is the correct substitution for finding the height of the prism? V = l w h. 405 = 15 + 4.5 + h. V = l w h = 15 times 4.5 times 405 V = l w h = 15 times 4.5 times 15 V = l w h. 405 = 15 times 4.5 times h

Answer 1

Answer: V = l w h. 405 = 15 times 4.5 times h

Explanation:

Given the following :

Volume of prism = 405 in^3

Length = 15 inches

Height = h

Width = 4.5 inches

Recall :

The volume of a prism is the product of the Base and the height.

That is;

Volume = Base × height

However, Base of prism is given by the area of the base shape of the prism.

From our parameters Base shape of the prism is a rectangle.

Therefore, Area of rectangle = Length × width

= 15 inches × 4.5 inches = 67.5 inch^2 = Base of prism

Therefore, Volume of prism equals ;

Volume = 15 × 4.5 × h

Volume = 405in^3

Volume = Base × height

405 = 15 × 4.5 × h

Answer 2

d) 405 = 15 times 4.5 times h

The height of the prism 'h' = 6 inches

Explanation:

Explanation:-

Given Volume of prism

V = 405 cubic inches

Given length of the prism

L = 15 inches

Given width of the prism

W = 4.5 inches

The volume of the prism

V = l w h

405 = 15 ×4.5× h

405 = 67.5 h

Dividing '67.5' on both sides , we get

h = 6 inches

Final answer:-

The height of the prism 'h' = 6 inches