5. Surface Area and Volume

5.01 Surface area of prisms

5.02 Surface area of cylinders

5.025 Surface area of spheres

5.03 Volume of prisms

5.035 Volume of pyramids

5.04 Volume of cylinders

5.05 Volume of spheres

5.06 Surface area of composite solids

5.065 Volume of composite solids

5.07 The trapezoidal rule

Year 11

5.035 Volume of pyramids

Interactive practice questions

Find the volume of the rectangular pyramid shown.

A rectangular pyramid with a dashed line representing the height of $5$ cm drawn perpendicularly from the apex to the base. The base is a rectangle. The length of the base is marked with single hash marks and measures $8$ cm. The width of the base is marked with double hash marks and measures $12$ cm. The point where the height meets the base is indicated by a right angle symbol.

Easy

1min

A right pyramid has a square base of $24$24 $mm$ and a perpendicular height of $24$24 $mm$ . What is its volume?

Easy

< 1min

The Great Pyramid is a right pyramid. It has a square base of side length $230$230 metres and a vertical height of $146$146 metres. Find the volume of the Great Pyramid.

Easy

2min

Find the volume of the following pyramid.

Easy

1min

Outcomes

MS11-4

performs calculations in relation to two-dimensional and three-dimensional figures

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