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Grade 6 Math · Unit 9

Nets, surface area, and volume

Use this low-stakes check after studying the unit. It has 8 fresh questions and one written reasoning prompt. No timer, grade, or gate blocks your next lesson.

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Work without the lesson open if you can. After you check, read each explanation and return to the linked lesson when you want another example.

1. Which of the following nets will NOT fold into a cube?

Nets of 3D Figures 6.G.A.4 Review lesson

2. A cube has an edge length of 5 centimeters. What is the surface area of the cube?

Surface Area of Rectangular Prisms 6.G.A.4 Review lesson

3. A triangular prism has a triangular base with sides 6 cm, 8 cm, and 10 cm. The triangle has area 24 cm². The height of the prism is 5 cm. What is the surface area?

Surface Area of Triangular Prisms 6.G.A.4 Review lesson

4. A triangular pyramid has a triangular base with area 12 cm². The three triangular faces each have area 15 cm². What is the total surface area?

Surface Area of Pyramids 6.G.A.4 Review lesson

5. A rectangular prism has dimensions 8 in by 3 in by 2 in. What is its volume?

Volume of Rectangular Prisms 6.G.A.2 Review lesson

6. A storage container has dimensions of 5/4 meters by 8/5 meters by 1/2 meter. Which expression correctly calculates the volume?

Volume with Fractional Edge Lengths 6.G.A.2 Review lesson

7. A net is unfolded and laid flat. Which three-dimensional shape has a square base and 4 triangular faces?

Nets of 3D Figures 6.G.A.4 Review lesson

8. A triangular prism has a right triangle base with legs 5 in and 12 in, and hypotenuse 13 in. The prism height is 8 in. What is the surface area?

Surface Area of Triangular Prisms 6.G.A.4 Review lesson

Explain your reasoning · Volume with fractional edges

A rectangular prism is 2 1/2 units long, 3 units wide, and 4 units high. Find its volume and show how the dimensions connect to the formula.

Open a sample approach and scoring guide

One possible approach: V = lwh = 2 1/2 × 3 × 4 = 30 cubic units. One way: the base area is 7 1/2 square units; multiplying by the height 4 gives 30 cubic units.

2-point guide: 1 point for using all three dimensions in l × w × h; 1 point for 30 cubic units with a valid calculation.

Try the problem before opening the example. A tutor or teacher can use the guide to discuss your representation and reasoning.

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