6th Grade Volume of Prisms with Fractional Edges Worksheet (PDF)

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

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

These 20 problems practice the volume of right rectangular prisms with whole-number and fractional edge lengths (Common Core 6.G.A.2). You will count unit cubes, use V = lwh and V = Bh, find missing edges, and solve real-world problems about tanks, boxes, and sand.

Grade 6 · Common Core State Standards: 6.G.A.2

Volume fractions worksheet: exercises 1 to 10

Exercise 1 – Volume with unit cubes

A prism built from 1-inch cubes.

Find the volume of the prism.

Exercise 2 – Volume of a cube

Find the volume of a cube with edge length 3 inches.

Exercise 3 – One fractional edge

A box.

A prism has length 1 1/2 feet, width 2 feet, and height 4 feet. Find its volume.

Exercise 4 – Packing with half-unit cubes

Each small cube has an edge of 1/2 unit.

The prism is filled with cubes with edge length 1/2 unit. Count the cubes, find the volume of one cube, and find the volume of the prism.

Exercise 5 – Volume with all fractions

Find the volume of a prism with length $\frac{1}{2}$ meter, width $\frac{3}{4}$ meter, and height 4 meters.

Exercise 6 – Base times height

The base of a prism has an area of 12 square feet. The prism is 5 feet tall. Find its volume using $V = Bh$.

Exercise 7 – Fractional base area

The base of a prism has an area of $\frac{3}{4}$ square meter. The prism is 8 meters tall. Find its volume.

Exercise 8 – Find the missing height

The volume is 36 cubic centimeters.

A prism has a volume of 36 cubic centimeters, a length of 4 centimeters, and a width of 3 centimeters. Find its height.

Exercise 9 – Find the missing length

A prism has a volume of 45 cubic inches, a width of 3 inches, and a height of 5 inches. Find its length.

Exercise 10 – Fish tank

A fish tank is 24 inches long, 10 inches wide, and 12 inches tall. Find its volume.

Exercises 11 and up

Exercise 11 – Mixed number edges

Find the volume of a prism with length $2\frac{1}{2}$ feet, width 3 feet, and height $1\frac{1}{2}$ feet.

Exercise 12 – Partly filled tank

A water tank.

A tank is 1 1/2 feet long, 2 feet wide, and 1 1/2 feet tall. It is filled 3/4 full of water. Find the volume of the water.

Exercise 13 – Same volume

Box A is 4 by 3 by 2 feet. Box B is 2 by 2 by 6 feet. Compare the volumes.

Exercise 14 – Boxes in a crate

A shipping crate.

A crate is 4 feet by 2 feet by 3 feet. Small boxes are 1 foot by 1/2 foot by 1/2 foot. How many small boxes fit in the crate?

Exercise 15 – Sandbox

A sandbox is 6 feet long, 4 feet wide, and 1/2 foot deep. Sand costs $5 per cubic foot. Find the volume and the cost to fill it.

Exercise 16 – Cubes of half a unit

A cube with edge length 1/2 inch is used to fill a box that is 3 inches by 2 inches by 1 inch. How many cubes fill the box?

Exercise 17 – Butter block

A block of butter is 3 1/2 inches long, 1 1/2 inches wide, and 1 1/2 inches tall. Find its volume.

Exercise 18 – Planter box

A planter box.

A planter box is 3 feet long, 1 1/2 feet wide, and 2 feet tall. A bag of soil holds 3 cubic feet. How many bags fill the box?

Exercise 19 – Three fractions

Find the volume of a small prism with length $\frac{3}{4}$ inch, width $\frac{2}{3}$ inch, and height $\frac{1}{2}$ inch.

Exercise 20 – Multi-step volume

Two boxes are stacked. The bottom box is 4 feet by 3 feet by 1 1/2 feet. The top box is 4 feet by 3 feet by 2 feet. Find the total volume of the stack and the total height.

Key facts behind this volume fractions worksheet

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 worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the volume fractions worksheet as a PDF with the button below and keep it with your notes.

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