7th Grade Area, Volume and Surface Area Quiz: 10 Questions with Explanations

7th Grade math quiz: Area, Volume and Surface Area – Maths PDFCover of the book Grade 7 Math Tests with Answer Keys (PDF)Download as a PDFThe Grade 7 tests book with answer keysPrintable PDFSee the book ›


This area volume surface area quiz for 7th Grade covers area, volume and surface area (Common Core 7.G.B.6), with a free PDF to print.

Answer all 10 multiple-choice questions on the area of triangles, quadrilaterals, and polygons, and the volume and surface area of right prisms, including composite figures. Pick the single best answer, then read the explanation to see why it is right and which common mistake each wrong choice shows. A score of 8 or more means you are ready for the test.

Grade 7 · Common Core State Standards: 7.G.B.6

Area volume surface area quiz: 10 questions

Question 1
b = 10h = 6What is the area of a triangle with base 10 and height 6?

Question 2
1045What is the area of a trapezoid with bases 4 and 10 and height 5?

Question 3
What is the volume of a prism with a base area of 18 and height 7?

Question 4
What is the surface area of a cube with edge length 4?

Question 5
A prism has volume 120 and a base area of 20. What is its height?

Question 6
A triangular prism has a triangular base of area 15 and a length of 8. What is the volume?

Question 7
Which unit goes with volume?

Question 8
An L-shape is a 9-by-7 rectangle with a 3-by-3 square removed. What is its area?

Question 9
432A box is 4 by 3 by 2. How many square units of paper cover it?

Question 10
85A parallelogram has base 8 and height 5 and a slanted side of 6. What is its area?

Remember

Remember
  • Triangle: \(A = \frac{1}{2} bh\). Trapezoid: \(A = \frac{1}{2} (b_1 + b_2) h\).
  • Composite polygon: add the areas of simple pieces or subtract a missing piece.
  • Volume of a prism: \(V = Bh\) (base area times height).
  • Surface area of a prism: add the areas of all faces from the net.
  • Area uses square units; volume uses cubic units.

How to use this area volume surface area quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the area volume surface area quiz as a PDF with the button below and keep it with your notes.

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7th Grade Area, Volume and Surface Area Quiz: 10 Questions with Explanations

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