a Use the formula for the surface area of a rectangle prism.
B
b Use the formula for the volume of a rectangle prism. Remember that the depth of the water is different from the depth of the pool.
A
a 1700ft^2
B
b 2250 ft^3
Practice makes perfect
a We know that the pool has the shape of a rectangular prism. Hence, to find its surface area, let's use the formula for the surface area of a rectangle prism.
A = 2wl + 2l h + 2hwHere w is the width, l is the length, and h is the height of the pool. We are given each of these dimensions, however, two of them are in feet and one is in inches. Thus, we need to first convert the one in inches into feet. To do this, we multiply the value by the conversion factor, 1 foot12 inches.
b Since the swimming pool has the shape of a rectangle prism, the water in it has also a shape of rectangle prism. Hence, to find its volume, we can use the following formula.
V=wl hHere, just as before, w is the width, l is the length, and h is the height of a rectangle prism. The width and length of the water are the same as of the swimming pool, while the depth (height) of the water is different. It is 34 of the pool's depth, which is 5 feet. By multiplying these numbers, we can find its exact value.
3/4* 5=15/4=3.75
Now, let's substitute 20 for w, 30 for l, and 3.75 for h.
