The length of the pool, which has the shape of a rectangular parallelepiped, is 10 m, the width is 8 m and the depth is 4 m.
The length of the pool, which has the shape of a rectangular parallelepiped, is 10 m, the width is 8 m and the depth is 4 m. What is the area of the bottom of the pool? What is its volume?
Given:
Length – 10 m;
Width – 8 m;
Depth – 4 m;
Bottom area -? m ^ 2;
Pool volume -? m ^ 3.
Decision:
Since the pool has the shape of a rectangular parallelepiped, its bottom has a rectangular shape. Consequently, the area of the pool bottom can be calculated as the product of the pool length and width:
1) 10 * 8 = 80 (m ^ 2) – bottom area.
The volume of a rectangular parallelepiped can be calculated as the product of its three dimensions, in this case it is the length, width and depth:
2) 8 * 10 * 4 = 320 (m ^ 3) – the volume of the pool.
Answer: 320 m ^ 3 and 80 m ^ 2.