Answer:
a)
Area of the floor = 992 square feet
Volume of the pod = 1920 cubic feet
b)
Surface area of the pool =1180 square yards
Volume of water the pool holds = 1000 square yards
c)
Area of flower bed = 446.4 square feet
Volume that the soil hold = 216 cubic feet
Explanation:
Area and Volume Calculations. Show clearly your use of units for the following calculations.
a. A storage pod has a rectangular floor that measures 20 feet by 12 feet and a flat ceiling that is 8 feet above the floor.
Find the area of the floor and the volume of the pod.
The floor is rectangular in shape
Area of the floor = A=2(wl+hl+hw)
= 2(20 × 12 + 8 × 20 + 8 × 12)
= 992 square feet
Volume of the pod
= Length × Width × height
= 20feet × 12 feet × 8 feet
= 1920 cubic feet
b. A lap pool has a length of 25 yards, a width of 20 yards, and a depth of 2 yards. Find the pool's surface area (the water surface) and the total volume of water that the pool holds.
Surface area of a pool = A=2(wl+hl+hw)
=2·(25·20+2·20+2·25)
=1180 square yards
The total volume of water the pool holds
= Length × Width × Depth
= 20 yards × 25 yards × 2 yards
= 1000 cubic yards of water
c. A raised flower bed is 30 feet long. 6 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds.
Area of the flower bed = A=2(wl+hl+hw)
=2·(6·30+1.2·30+1.2·6)
=446.4 square feet
Volume of the soil = Length × Width × depth
= 30 feet × 6 feet × 1.2 feet
= 216 cubic feet