6th Grade Volume of Prisms with Fractional Edges Test with Point Values (PDF)

6th Grade math test: Volume of Prisms with Fractional Edges – Maths PDF

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This volume fractions test for 6th Grade covers volume of prisms with fractional edges (Common Core 6.G.A.2), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers the volume of prisms with fractional edges, unit-cube packing, missing dimensions, and real-world problems (Common Core 6.G.A.2). Show your work for full credit.

Time and points

About this test

Grade: Grade 6
Chapter: Volume of Prisms with Fractional Edges
Standards: 6.G.A.2
Time: 45 minutes
Total: 20 points

Volume fractions test: questions

Question 1 – Volume of a prism [2 pts]

A box.

Find the volume of the prism.

Question 2 – Fractional edge [2 pts]

Find the volume of a prism with length $2\frac{1}{2}$ feet, width 4 feet, and height 2 feet.

Question 3 – Unit cubes [2 pts]

Each cube has an edge of 1/2 inch.

The prism is filled with cubes with edge 1/2 inch. How many cubes are there, and what is the volume of the prism?

Question 4 – Base times height [2 pts]

A prism has a base area of $\frac{2}{3}$ square meter and a height of 9 meters. Find its volume.

Question 5 – Missing dimension [2 pts]

A box has a volume of 60 cubic inches, a length of 5 inches, and a width of 4 inches. Find its height.

Question 6 – Water in a tank [2 pts]

An aquarium.

An aquarium is 2 feet long, 1 1/2 feet wide, and 1 foot tall. Find how much water it holds when full.

Question 7 – Compare boxes [2 pts]

Box A is 5 by 4 by 3 inches. Box B is 6 by 3 by 3 inches. Which box has the greater volume and by how much?

Question 8 – Packing [3 pts]

A storage bin is 3 feet by 2 feet by 1 1/2 feet. Cubes with an edge of 1/2 foot are packed inside. How many cubes fit, and what is the volume of each cube?

Question 9 – Sand for a play area [3 pts]

A play area is a rectangle 8 feet by 5 feet. Sand will be 3/4 foot deep. Sand costs $4 per cubic foot. Find the volume of sand and the total cost.

Key facts behind this volume fractions test

Key facts

Volume is the number of cubic units that fill a solid.
V = lwh or V = Bh for a right rectangular prism.
Fractional edges work the same way: multiply the fractions.
A cube with edge 1/2 has volume 1/8, and 8 of them fill a unit cube.
To find a missing edge, divide the volume by the product of the other edges.

How to use this volume fractions test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 6 chapters: Grade 6 math.

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