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Surface Area and Volume of Prisms Test – Grade 7 Math (Printable PDF)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 7 Math Tests – Mathbot, the Math Made Easy robot coach, with free printable tests for Grade 7

Looking for a surface area and volume of prisms test? Then this Grade 7 test on Prisms: Surface Area, Volume and Composite Figures checks the whole chapter, with points for each question. This test has 8 questions worth 20 points on composite area, volume and surface area of prisms. Allow 45 minutes, write units in every answer and show each step. A calculator is not needed.

Standards: 7.G.B.6 · Level: Grade 7

Time: 45 minutes · 8 questions · Total: 20 points · Calculator: as allowed by your teacher

Question 2 Trapezoid on a rectangle (3 points)

The figure is a trapezoid sitting on a rectangle.

9 cm6 cm15 cm4 cm
Trapezoid on a rectangle.
  1. Find the area of the trapezoid. (1 point)
  2. Find the area of the rectangle. (1 point)
  3. Find the area of the whole figure. (1 point)

Question 3 Box measurements (2 points)

A box measures 14 in by 6 in by 5.5 in. Calculate (a) its volume and (b) its surface area. (1 point each)

Question 4 Right triangular prism (3 points)

The base of the prism is a right triangle.

24 cm7 cm25 cmlength 12 cm
Triangular prism.
  1. Find the area of the triangular base. (1 point)
  2. Find the volume. (1 point)
  3. Find the surface area. (1 point)

Question 5 L-shaped prism (3 points)

The L-shaped figure is the base of a prism that is 5 cm tall.

6 cm3 cm4 cm5 cm8 cm10 cm
Base of the prism; prism height 5 cm.
  1. Find the area of the L-shaped base. (2 points)
  2. Find the volume of the prism. (1 point)

Question 6 Find a missing length (2 points)

A triangular prism has a volume of 270 cm³. Its triangular base has a base of 9 cm and a height of 6 cm. Find the length of the prism.

Question 7 Open fish tank (3 points)

An open-top fish tank is 30 in long, 12 in wide and 16 in tall. (a) How many square inches of glass are needed for the bottom and four sides? (2 points) (b) What is the volume of water when the tank is filled to a depth of 12 in? (1 point)

Question 8 Stacked blocks (2 points)

A solid is made of two rectangular blocks.

10 cm2 cm4 cm wide, 3 cm talldepth 6 cm
Two blocks, both 6 cm deep.

Find the volume of the whole solid. (2 points)

View the Surface Area And Volume Of Prisms test answer key with scoring