Volume by formula: 5th grade math lesson

What this lesson shows

V = l × w × h and V = B × h for a 15 by 32 by 10 foot room: base area times layers.

The worked example

The lesson works this one step by step: 15 × 32 × 10. Then your kid tries one like it on paper.

The steps

V = l × w × h
V = B × h
Cubic units

Helping at home

V = l × w × h multiplies the three edges. V = B × h starts from B, the area of the base, and stacks one layer of it for each unit of height. Both give the same volume, in cubic units.

If your kid gets stuck

Find B, the area of the base, first.

Watch it with Lux

With Lux, this lesson is a narrated video and a printed page your kid works on. Then Lux helps with the same math on their own worksheet, one question at a time.

See how Lux works

Standards

Common Core 5.MD.C.5b
Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Matches standards in 49 statesSee each state's code

Alabama MA19.5.19b
Alaska 5.MD.7.b
Arizona 5.MD.C.5.b
Arkansas 5.GM.4
California 5.MD.C.5
Colorado 5.MD.C.5.b
Connecticut 5.MD.C.5
Delaware 5.MD.C.5
District of Columbia 5.MD.C.5
Florida MA.5.GR.3.2, MA.5.GR.3.3
Georgia 5.GSR.8.4
Hawaii 5.MD.C.5
Idaho 5.MD.C.5.a, 5.MD.C.5.b
Illinois 5.MD.C.5
Indiana 5.M.5, 5.M.4
Iowa 5.MD.C.5.b
Kansas 5.MD.5.b
Kentucky KY.5.MD.5.b
Louisiana 5.MD.C.5.b
Maine 5.MD.C.5b
Maryland 5.GR.C.5.b
Massachusetts 5.MD.C.5.b
Michigan 5.MD.C.5
Minnesota 5.3.2.4
Mississippi 5.MD.5.b
Missouri 5.GM.B.5
Montana MT.5.MD.5.b, 5.D2.1
Nebraska 5.G.4.d, 5.G.4.e
Nevada 5.MD.C.5
New Hampshire 5.MD.C.5
New Jersey 5.M.B.4b
New Mexico 5.MD.C.5
New York NY-5.MD.5.a, NY-5.MD.5.b
North Carolina NC.5.MD.5.b
Ohio 5.MD.5.b
Oklahoma 5.GM.2.1
Oregon 5.GM.D.7
Pennsylvania CC.2.4.5.A.5
Rhode Island 5.MD.C.5.b
South Dakota 5.MD.C.5.c
Tennessee 5.MD.C.5.b
Texas 111.7.b.4.G, 111.7.b.4.H
Utah 5.MD.5.b
Vermont 5.MD.C.5
Virginia 5.MG.2d, 5.MG.2e, 5.MG.2f, 5.MG.2g
Washington 5.MD.C.5
West Virginia M.5.22
Wisconsin M.5.MD.C.5
Wyoming 5.MD.5a, 5.MD.5b, 5.MDP.5.A, 5.MDP.5.B

Volume by formula