What this lesson shows
120 cubic inches on a 3 by 10 inch base: 120 = 30 × h, so h = 4.
The worked example
The lesson works this one step by step: 10 × 3 × 4. Then your kid tries one like it on paper.
The steps
- Find B first
- Fill in V = B × h
- Divide, then check
Helping at home
Find B, the area of the base, first. Fill in V = B × h with what you know, then divide the volume by B for the height. Check by multiplying back.
If your kid gets stuck
Find B first, then divide the volume by B.
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.
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
More in this unit
- Triangles two ways
- Every name that fits
- Not only the last name
- Solid figures
- Turning does not change it
- Volume by packing cubes
- No gaps, no overlaps
- Volume by formula
- The base is an area
- Two boxes put together
- Nets of solids
- Area of parallelograms and triangles
- The angles of a triangle
- Area of a trapezoid
- Estimating around a curve
- Radius and diameter
- Perimeter, area, or volume?
- Surface area with a net