Math · Stage 5
Find the area of a triangle and the volume of a cube/cuboid
A triangle is exactly half of its rectangle, so its area is (base × height) ÷ 2. A box is layers of unit cubes, so its volume is length × width × height.
✦ Math📘 Stage 5 · S5⏱ ~13 min🧒 Ages 9–10★ Free to start
I can find the area of a triangle and the volume of a cube/cuboid.
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Kavi Measures the Tent and the Toy Box 🏕️
Kavi is making a triangle tent flap and filling a square toy box 🏕️. "Two shapes, two different jobs," hoots Kavi. "The flat triangle has an area — it is half of its rectangle, so (base × height) ÷ 2, in square units. The solid box has a volume — stacks of unit cubes, so length × width × height, in cubic units."
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What your child will learn
1Area is flat space; volume is space filledThese two measurements answer different questions. Tap each card to see its job.
2A triangle is HALF of its rectangleAny triangle fits exactly inside a rectangle that is base wide and height tall. The triangle covers half of it, so area = (base × height) ÷ 2. Tap each part.
3A box is layers of unit cubesFill a cuboid with 1 cm unit cubes. One layer is length × width cubes; stack it height layers high. So volume = length × width × height. Tap each part.
4Triangle ÷ 2, box × 3 edgesSame idea — measure the space — but a flat triangle and a solid box use different moves. Tap each card.
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A peek inside
A triangle has a base of 8 cm and a height of 5 cm. Find its area.
area = (base × height) ÷ 2 = (8 × 5) ÷ 2 = 40 ÷ 2
Try this at home: A triangle has base 6 cm and height 4 cm. Area = (6 × 4) ÷ 2 = __
Ready to play and learn?
Start the free interactive lesson, or print the handout for screen-free play.
Part of Math · Stage 5 · S5 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.