Height — Grade 6 Math, what it means and where it is taught
The perpendicular distance from the base to the opposite corner.
Taught in Grade 6 Math.
Where it is taught
What it rests on
Work through these first if this one does not settle.
- Perpendicular — Slopes multiply to -1 — negative reciprocals.
- Base — Any side of a triangle, chosen as the one to measure from.
Practise this idea
77 questions in the course bank use Height, in Length and Area in 2-D Figures, Plane Sections of 3-D Figures, Volume & Surface Area of 3-D Figures, Problem Solving, Measurement, Reading Graphs & Estimation. The first 8 are below; the rest are in those units.
Problem 1
Find the area of a rectangle 7 cm by 9 cm.
Worked answer
63
7 × 9 = 63 cm2
Problem 2
Find the area of a triangle with base 10 and height 6.
Worked answer
30
12(10)(6) = 30
Problem 3
Find the area of a parallelogram with base 12 and height 5.
Worked answer
60
12 × 5 = 60
Problem 4
A trapezoid has parallel sides 7 m and 13 m, and height 6 m. Find its area.
Worked answer
60
7 + 132 = 10
10 × 6 = 60 m2
Problem 5
A triangle has area 54 cm2 and base 12 cm. Find its height.
Worked answer
9
54 = 12(12)h = 6h
h = 9 cm
Problem 6
A triangle has its base along the full 12-unit side of a 12 × 8 rectangle, with its third vertex on the opposite side. Find its area.
Worked answer
48
Base = 12, height = 8
12(12)(8) = 48
Exactly half the rectangle — and it does not matter where along the side the apex sits.
Problem 7
A cylinder is sliced straight down through its central axis. What shape appears?
- A circle
- A rectangle
- A triangle
- An oval
Worked answer
A rectangle
A rectangle: as tall as the cylinder and as wide as the diameter.
Problem 8
A cylinder has radius 4 cm and height 10 cm. It is cut vertically through its axis. Find the area of the cross section.
Worked answer
80
Height = 10 cm
Width = 2 × 4 = 8 cm
Area = 10 × 8 = 80 cm2