CurriculumGrade 6Mathematics

Volume with Fractional Edges

Aligned to 6.G.A.2 — Common Core State Standards for Mathematics.

What this lesson teaches

Volume of a right rectangular prism is length × width × height, and it works even when the edges are fractions. You can also use V = B × h, where B is the area of the base.

Worked example

A box is 1/2 ft by 3/4 ft by 2 ft. Volume = 1/2 × 3/4 × 2 = 6/8 = 3/4 cubic foot.

Practice questions

  1. Find the volume of a prism 2/3 m by 3 m by 1/2 m.
  2. A base has area 5/6 square foot and height 4 ft. Find the volume using V = Bh.
  3. A fish tank measures 1 1/2 ft by 1 ft by 3/4 ft. What is its volume?

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

▶ Watch this lesson

En español

Volumen con Aristas Fraccionarias

El volumen de un prisma rectangular recto es largo × ancho × altura, y funciona incluso cuando las aristas son fracciones. También puedes usar V = B × h, donde B es el área de la base.

Ejemplo: Una caja mide 1/2 pie por 3/4 pie por 2 pies. Volumen = 1/2 × 3/4 × 2 = 6/8 = 3/4 de pie cúbico.

More Geometry lessons

Area, Surface Area, and Volume6.G.A.1Polygons on the Coordinate Plane6.G.A.3Nets and Surface Area6.G.A.4

Teach this lesson today

An AI tutor that guides with questions instead of just giving answers — all K–12 core subjects, every child in the family.

Start free — no card required