This ten-question multiple-choice quiz practices composite area, volume, and surface area from Common Core standard 7.G.B.6. Exactly one option is correct in each question. The explanation shows the calculation and names the typical mistake behind the wrong choices.
What is the volume of the prism?
What is the volume of the triangular prism?
What is the area of the figure?
What is the surface area of a cube with edges of \(5\text{ cm}\)?
A prism has a base area of \(18\text{ cm}^2\) and a height of \(7\text{ cm}\). What is its volume?
A rectangular prism has a \(12\text{ ft}\) by \(5\text{ ft}\) base and a volume of \(300\text{ ft}^3\). What is its height?
The net folds into a rectangular prism. What is its surface area?
A triangular prism has two triangular bases, each with area \(10\text{ in}^2\). The three rectangular faces have a total area of \(84\text{ in}^2\). What is the surface area?
What is the volume of the solid?
A fish tank is \(20\text{ in}\) long, \(10\text{ in}\) wide, and \(12\text{ in}\) tall. Maya fills it with water to \(\frac{3}{4}\) of its height. How much water is in the tank?
🎉 Quiz complete!
Remember:
- Area of a triangle: \(A=\frac{1}{2}bh\).
- Volume of a right prism: \(V=Bh\).
- Surface area of a right prism: \(SA=2B+Ph\).
- Area uses square units, and volume uses cubic units.
- Break composite figures and solids into simple parts, then add.
See every chapter on the Grade 7 math page.