For each of the following prisms:
State the shape of the prism's base.
Find the area of the prism's base.
Find the volume of the prism.
Find the volume of the following prisms:
A prism has a volume of 880 \text{ cm}^3. If it has a height of 11 \text{ cm}, find the base area of the prism.
A prism has a volume of 1080 \text{ cm}^3. If it has a base area of 120 \text{ cm}^2, find the height of the prism.
Find the volume of the following solids, rounding your answers to one decimal place:
There are two types of cylindrical soup cans available for Ray to purchase at his local store. One has a diameter of 16 \text{ cm} and a height of 18 \text{ cm} , and the other has a diameter of 18 \text{ cm} and a height of 16 \text{ cm} . Which type of can holds more soup?
A cylindrical tank with diameter of 3\text{ m} is placed in a 2 \text{ m} deep circular hole so that there is a gap of 40\text{ cm} between the side of the tank and the hole. The top of the tank is level with the ground.
What volume of dirt was removed to make the hole? Give your answer to the nearest cubic metre.
Find the capacity of the tank to the nearest litre.
Jack's mother told him to drink 3 large bottles of water each day. She gave him a cylindrical bottle with height 17\text{ cm} and radius 5\text{ cm}.
Find the volume of the bottle. Round your answer to two decimal places.
Assuming that he drinks 3 full bottles as his mother suggested, calculate the volume of water Jack drinks each day. Round your answer to two decimal places.
If Jack follows this drinking routine for a week, how many litres of water would he drink altogether? Round your answer to the nearest litre.
Find the capacity of the fish tank in litres:
A cylindrical swimming pool has a diameter of 5\text{ m} and a depth of 1.8\text{ m}.
How many litres of water can the pool contain? Round your answer to the nearest litre.
Express this amount of water in kilolitres.
The outline of a trapezium-shaped block of land is shown:
Find the area of the block of land.
During a heavy storm, 63\text{ mm} of rain fell over the block of land.
Find the volume of water that landed on the property in litres.
A rectangular swimming pool has a length of 27\text{ m}, width of 14\text{ m} and depth of 3\text{ m}.
Find the capacity of the swimming pool in litres.
The roof of a cottage has the shape of a triangular prism with the dimensions shown below.
Find the volume of the roof.
A fish tank designed to sit in the corner of a room has the shape of a right-angled triangular prism.
If its dimensions are as shown in the image, determine the capacity of the fish tank in litres.
Find the volume of the following tent in cubic metres:
A metal rectangular prism is melted down and re-cast into identical triangular prisms as shown in the images below:
If all of the metal is able to be re-used, calculate the number of whole triangular prisms that can be made.
If 7\% of the metal is wasted in the process, calculate the number of whole triangular prisms that can be made.