Find the volume of the following prisms:
Find the volume of the cube shown:
Find the volume of a cube with the following side lengths:
The following rectangular prism has a volume of 168\text{ mm}^3:
Find the length, a, of the rectangular prism.
The following rectangular prism has a volume of 1680\text{ mm}^3:
Find the width of the rectangular prism in millimetres.
The following rectangular prism has a volume of 1224\text{ m}^3:
Find the length, b, of the rectangular prism in metres.
The following rectangular prism has a volume of 300\text{ mm}^3:
Find the height, a, of the rectangular prism in millimetres.
The following rectangular prism has a volume of 162\text{ mm}^3:
Find the width, a, of the rectangular prism in millimetres.
The following rectangular prism has a volume of 510\text{ mm}^3:
Find the length, t, of the rectangular prism in millimetres.
Find the length of the rectangular prism with volume 162\text{ cm}^3, width 6\text{ cm} and height 3\text{ cm}.
Find the side length of a cube with volume 27\text{ cm}^3.
Each face of a cube has an area of 64\text{ cm}^{2}.
Find the length of the cube's edge.
Find the volume of the cube.
Find the volume of the following prisms:
Consider the following triangular prism:
Find the volume of the prism.
Find the capacity of the prism.
The volume of the triangular prism shown is 40.8 \text{ m}^3:
Find the value of p.
The volume of the triangular prism shown is 231\text{ cm}^3:
Find the value of k.
The volume of the triangular prism shown is 117 \text{ m}^3.
Find the value of y.
The volume of the triangular prism shown is 287.5\text{ m}^{3}:
Find the value of k, to one decimal place.
The volume of the triangular prism shown is 247.45\text{ cm}^{3}:
Find the value of y to one decimal place.
This nesting box needs to have a volume of 129\,978\text{ cm}^{3}, a height of 83\text{ cm} and a width of 54\text{ cm}. Find the depth, d, of the box.
Find the maximum volume of water the following aquarium can hold:
A box is 1 \text{ m} long, 20 \text{ cm} high and 30 \text{ cm} wide. What is the volume of the box in cubic centimetres?
A container has the shape of a rectangular prism, with the following dimensions: 50\text{ cm}, 80 \text{ cm}, and 20 \text{ cm}. Find its volume.
A tank has a length of 7 \text{ m}, width of 2 \text{ m} and depth of 6 \text{ m}. Find the volume of the tank in cubic metres.
A box of tissues is in the shape of a rectangular prism. It measures 19 \text{ cm} by 39 \text{ cm} by 11 \text{ cm}.
Find the volume of the box.
A supermarket owner wants to arrange a number of tissues boxes on a shelf such that there are no gaps between the boxes or at either end of the shelf. If the shelf at the supermarket is 95 \text{ cm} long, find the maximum number of tissues boxes that can be organised in this way.
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.
A container has the shape of a rectangular prism, with the following dimensions: 40 \text{ cm}, 80 \text{ cm}, and 10 \text{ cm} .
Find the volume of the container.
Find the capacity of the container in litres.
A garden bed is 5 \text{ m} in length, 2\text{ m} in width and 20 \text{ cm} in height. Find the volume of soil in cubic metres that will be needed to fill up the garden bed.
A rectangular swimming pool has a length of 27 \text{ m}, width of 14 \text{ m} and depth of 3 \text{ m}.
Find the volume of the swimming pool.
Find the capacity of the swimming pool.
A cubic container has a capacity of 153 \text{ mL}.
What is the volume of the container in cubic centimetres?
Find the side length of the container correct to two decimal places.
The roof of a house is flat and measures 16\text{ m} by 15 \text{ m} in the shape of a rectangle.
Find the area of the roof.
If a water tank collects all the water from the roof, how many litres of water would it collect if there had been 20 \text{ mm} of rain?
After the water tank has become full, a further 10 \text{ mm} of rain falls from the roof. How many litres of rainfall are not collected as a result?
A refrigerator is used to store medical samples and has dimensions 18 \text{ cm} by 70 cm by 12 \text{ cm}. The samples are stored in small containers in the shape of rectangular prisms that have dimensions 20 \text{ mm} by 50 \text{ mm} by 20 \text{ mm}.
Find the volume of a sample container in cubic centimetres.
Find the volume of the fridge.
Hence, how many containers can be stored in the fridge?
Find the volume of concrete required to build the skateboard ramp shown:
Find the volume of the following tent in cubic metres:
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.
The volume of the following tent is 4.64\text{ m}^3.
Find the height, h, of the tent.
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.