This 45-minute test covers Common Core standard 7.G.B.6: the area of composite figures, and the volume and surface area of prisms. It has eight questions worth 20 points. Show your work, include units, and use the labeled figures to find the missing information.
- Grade: Grade 7
- Chapter: Area, Surface Area and Volume of Prisms
- Common Core: 7.G.B.6
- Time: 45 minutes
- Total: 20 points (Question 1: 3 pts; Question 2: 2 pts; Question 3: 3 pts; Question 4: 2 pts; Question 5: 3 pts; Question 6: 2 pts; Question 7: 3 pts; Question 8: 2 pts)
Question 1: Area of an L-shaped figure (3 points)
The figure shows a classroom floor plan. Find its area.
Question 2: Area of a pennant (2 points)
Find the area of the figure, a rectangle topped by a triangle.
Question 3: Volumes of prisms (3 points)
- Find the volume of a rectangular prism that is \(9\text{ in}\) long, \(6\text{ in}\) wide, and \(4\text{ in}\) tall. (1 point)
- Find the volume of the triangular prism shown. (2 points)
Question 4: Surface area of a box (2 points)
A closed box is \(10\text{ cm}\) long, \(6\text{ cm}\) wide, and \(4\text{ cm}\) tall. Find its surface area.
Question 5: Surface area of a triangular prism (3 points)
The bases of the prism are right triangles. Find its surface area.
Question 6: Missing height (2 points)
A storage bin is a rectangular prism with a base \(12\text{ ft}\) by \(5\text{ ft}\). Its volume is \(360\text{ ft}^3\). Find its height.
Question 7: Volume of a composite solid (3 points)
A solid has an L-shaped front face and a depth of \(5\text{ cm}\). Find its volume.
Question 8: Wrapping a gift (2 points)
Diego wraps a gift box that is \(14\text{ in}\) long, \(10\text{ in}\) wide, and \(6\text{ in}\) tall. A sheet of wrapping paper has an area of \(600\text{ in}^2\). Is one sheet enough to cover the whole box with no overlap? Explain.
See every chapter on the Grade 7 math page.