Find the volume of the following rectangular prisms:
Find the volume of the following cubes:
Explain how to find the volume of a cube that has a side length of 14\text{ m}.
Find the side length of a cube that has a volume of 27\text{ cm}^3.
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 triangular prism with a base area of 20 \,\text{cm}^2 and a height of 10 \,\text{cm}. Find its volume.
An octagonal prism with a base area of 80 \,\text{mm}^2 and a height of 120 \,\text{mm}. Find its volume.
Rochelle notices that the base of a cylinder is always a circle. To save working out time, Rochelle decides to combine the area formula A = \pi r^{2} with the volume formula V = A h.
By substituting the area formula into the volume formula, state the formula Rochelle gets for the volume of a cylinder.
Consider the solid shown in the diagram:
State the shape of the base of this solid.
Find the exact area of the solid's base.
Find the exact volume of the solid.
Find the volume of the following solids, rounding your answers to one decimal place:
Explain how to get the volume of the following solid to the one decimal place.
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 box of tissues is in the shape of a rectangular prism. It has a length of 39 \text{ cm}, a width of19 \text{ cm} and a height of 11 \text{ cm}. Find the volume of the box.
A tank has a length of 9\text{ m}, width of 4\text{ m} and depth of 8\text{ m} . Find the volume of the tank.
A container has the shape of a rectangular prism with dimensions 50\text{ cm}, 30\text{ cm}, and 60\text{ cm}. Find the volume of the container.
Find the maximum volume of water this aquarium can hold: