Question

the interior dimensions of a restaurant refrigerator are 8 feet high, 6 feet wide, and 3 feet deep. how many cubic feet of space are in the refrigerator? to solve, use the formula for the volume of a rectangular prism. v = lwh. v = 8 6 3 ← substitute the known values. v = 144 ← simplify. there are 144 cubic feet of space inside the refrigerator. use the volume formula for a rectangular prism, v = lwh, to solve. 1. find v when l = 4, w = 6, and h = 2. v = 4 6 2. v = 48 units³. 2. find v when l = 50, w = 30, and h = 15. 3. find h when v = 54, l = 6, and w = 3. 4. find h when v = 512, l = 8, and w = 8. 5. find w when v = 360, l = 9, and h = 5. 6. find w when v = 48, l = 2, and h = 6. 7. find l when v = 108, w = 6, and h = 2. 8. find l when v = 1000, h = 10, and w = 10. use the area formula for a rectangle, a = lw, to solve. 9. find a when l = 24 and w = 3. a = 24 * 3. a = 72 units². 10. find a when l = 9 and w = 11. 11. find w when a = 225 and l = 25. 12. find w when a = 64 and l = 8. 13. find l when w = 4 and a = 104. 14. find l when w = 13 and a = 65.

Explanation:

1. For finding \(V\) when \(\ell = 4\), \(w = 6\), and \(h = 2\) using \(V=\ell wh\):

Step1: Substitute values

\(V = 4\times6\times2\)

Step2: Calculate product

\(V=48\) units³

Step1: Substitute values

\(V=50\times30\times15\)

Step2: Calculate product

\(V = 22500\) units³

Step1: Substitute values

\(h=\frac{54}{6\times3}\)

Step2: Calculate value

\(h = 3\)

Answer:

\(V = 48\) units³

1. For finding \(V\) when \(\ell = 50\), \(w = 30\), and \(h = 15\) using \(V=\ell wh\):