How much space is inside a box? Build boxes from little cubes, count layer by layer, and find volume in cm³ and litres. Play, solve missions and beat the clock.
Start here. Volume tells you how much space a solid takes up. To measure it, fill the solid with small cubes that are all the same size, then count them. A box that holds 12 cubes has a volume of 12 cubes.
Layers. A box is just layers of cubes stacked up. Count the cubes in one layer (length × width), then add the layers. Cubes at the back and the middle are hidden, but they are still there, so counting layers is faster than counting one by one.
The rule. Volume = length × width × height. A cube that is 1 cm on every side has a volume of 1 cubic centimetre, written 1 cm³. A box 5 cm long, 3 cm wide and 4 cm tall has a volume of 5 × 3 × 4 = 60 cm³.
Millilitres and litres. 1 cm³ of water is 1 millilitre (mL). A 10 cm × 10 cm × 10 cm cube holds 1,000 cm³, which is 1,000 mL, which is 1 litre. To change cm³ into litres, divide by 1,000.
Missing sides. If you know the volume and two sizes, divide to find the third. A box with volume 72 cm³, length 6 cm and width 4 cm is 72 ÷ (6 × 4) = 3 cm tall.
L-shaped solids. Cut an L-shaped solid into two boxes, find the volume of each and add them. Be careful not to treat it as one big box.
Try this above. In the workshop, press "Build layer by layer" and watch the count grow. Then try the 1 litre cube at level 2, and the L-shape at level 3.
Area measures a flat surface in square units such as cm². Volume measures the space inside a solid in cubic units such as cm³. A box has a floor area and a volume.
Because we multiply three lengths: cm × cm × cm. That makes cubic centimetres, or cm³.
1 litre = 1,000 mL = 1,000 cm³. So 1 cm³ holds exactly 1 mL of water.
Pick the level, not the age. "Just starting" counts cubes in layers. "I know the basics" uses length × width × height with cm³, mL and litres. "Challenge me" finds missing sides, fits cubes in boxes and handles L-shaped solids.
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