4. A pool in the shape of a rectangular prism has a width of 8 1/2 feet (ft), a length of 12 ft, and a depth of 8 ft. What is the volume of the pool?
A 102 ft
B 532 ft
C 816 ft
D 1,728 ft
recall that for a rectangular prism,
volume = length * width * height
so, just multiply them all together.
so that would be 816
To find the volume of a rectangular prism, you need to multiply its length, width, and depth.
The width of the pool is given as 8 1/2 feet, which can be written as 8.5 feet. The length is given as 12 feet, and the depth is given as 8 feet.
So, the volume of the pool can be calculated as:
Volume = Length × Width × Depth
= 12 ft × 8.5 ft × 8 ft
To multiply mixed numbers, you can first convert the mixed numbers into improper fractions, then multiply the fractions.
Converting the mixed number 8 1/2 to an improper fraction:
8 1/2 = 8 + 1/2 = 16/2 + 1/2 = 17/2
Now, we can multiply the length, width, and depth to get the volume:
Volume = 12 ft × (17/2) ft × 8 ft
To simplify this fraction multiplication, you can first cancel common factors between the numerator and the denominator:
Volume = 12 ft × (17/2) ft × 8 ft
= (12 × 17 × 8) / (2 × 1 × 1) ft³
= (1632) / (2) ft³
= 816 ft³
Therefore, the volume of the pool is 816 ft³.
The correct answer is C) 816 ft³.