Two boxes put together: 5th grade math lesson

What this lesson shows

An L-shaped figure split into two boxes, their volumes added.

The worked example

The lesson works this one step by step: 4 by 3 by 5 and 3 by 3 by 2. Then your kid tries one like it on paper.

The steps

Cut where the height changes
Find each box
Add the volumes

Helping at home

An L-shaped solid is not one box. Cut it where the height changes, find each box with length × width × height, then add the two volumes.

If your kid gets stuck

Cut where the height changes.

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.5c
Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Matches standards in 44 statesSee each state's code

Alabama MA19.5.19c
Alaska 5.MD.7.c
Arizona 5.MD.C.5.b, 5.MD.C.5.c
Arkansas 5.GM.4, 5.GM.5
California 5.MD.C.5
Colorado 5.MD.C.5.c
Connecticut 5.MD.C.5
Delaware 5.MD.C.5
District of Columbia 5.MD.C.5
Florida MA.5.GR.3.3
Hawaii 5.MD.C.5
Idaho 5.MD.C.5.b, 5.MD.C.5.c
Illinois 5.MD.C.5
Iowa 5.MD.C.5.b, 5.MD.C.5.c
Kansas 5.MD.5.c
Kentucky KY.5.MD.5.b, KY.5.MD.5.c
Louisiana 5.MD.C.5.c
Maine 5.MD.C.5c
Maryland 5.GR.C.5.c
Massachusetts 5.MD.C.5.c
Michigan 5.MD.C.5
Mississippi 5.MD.5.c
Montana MT.5.MD.5.c, 5.D1.9
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.4c
New Mexico 5.MD.C.5
New York NY-5.MD.5.c
North Carolina NC.5.MD.5.c
Ohio 5.MD.5.c
Oregon 5.GM.D.7
Pennsylvania CC.2.4.5.A.5
Rhode Island 5.MD.C.5.c
South Dakota 5.MD.C.5.d
Tennessee 5.MD.C.5.c
Texas 111.7.b.4.H
Utah 5.MD.5.c
Vermont 5.MD.C.5
Virginia 5.MG.2e, 5.MG.2g
Washington 5.MD.C.5
West Virginia M.5.22
Wisconsin M.5.MD.C.5
Wyoming 5.MD.5b, 5.MDP.5.B

Two boxes put together