Canada Grade 6 Math Perimeter, area, and volume

What is the perimeter of a rectangle with a length of 8 metres and a width of 5 metres?

• 26 metres

• 40 metres

• 13 metres

• 16 metres

Answer explanation

The perimeter of a rectangle is calculated using the formula P = 2(length + width). Here, P = 2(8 + 5) = 2(13) = 26 metres. Therefore, the correct answer is 26 metres.

A square has a side length of 7 metres. What is its area?

• 14 square metres

• 28 square metres

• 49 square metres

• 21 square metres

Answer explanation

The area of a square is calculated by squaring the side length. Here, the side length is 7 metres. Therefore, the area = 7 x 7 = 49 square metres. Thus, the correct answer is 49 square metres.

If the perimeter of an equilateral triangle is 24 centimetres, what is the length of one side?

• 6 centimetres

• 8 centimetres

• 12 centimetres

• 4 centimetres

Answer explanation

The perimeter of an equilateral triangle is the sum of all three sides. If the perimeter is 24 cm, each side is 24 cm ÷ 3 = 8 cm. Therefore, the length of one side is 8 centimetres.

Calculate the volume of a cube with a side length of 3 metres.

• 9 cubic metres

• 27 cubic metres

• 18 cubic metres

• 12 cubic metres

Answer explanation

The volume of a cube is calculated using the formula V = side³. For a cube with a side length of 3 metres, V = 3³ = 27 cubic metres. Therefore, the correct answer is 27 cubic metres.

A rectangle has an area of 36 square metres and a width of 4 metres. What is its length?

• 9 metres

• 8 metres

• 10 metres

• 12 metres

Answer explanation

To find the length of the rectangle, use the formula: Area = Length × Width. Given the area is 36 m² and the width is 4 m, we can rearrange the formula: Length = Area / Width = 36 / 4 = 9 metres.

What is the area of a triangle with a base of 10 metres and a height of 5 metres?

• 25 square metres

• 50 square metres

• 15 square metres

• 30 square metres

Answer explanation

The area of a triangle is calculated using the formula: Area = 0.5 × base × height. Here, Area = 0.5 × 10 m × 5 m = 25 square metres. Therefore, the correct answer is 25 square metres.

• 12.56 metres

• 25.12 metres

• 31.4 metres

• 16 metres

Answer explanation

The circumference of a circle is calculated using the formula C = 2\pi r. Substituting the radius (r = 4 m) and \pi \approx 3.14, we get C = 2 \times 3.14 \times 4 = 25.12 metres, which is the correct answer.

What is the volume of a rectangular prism with a length of 5 metres, a width of 3 metres, and a height of 2 metres?

• 30 cubic metres

• 15 cubic metres

• 10 cubic metres

• 20 cubic metres

Answer explanation

To find the volume of a rectangular prism, multiply the length, width, and height. Here, 5m x 3m x 2m = 30 cubic metres, which is the correct answer.

If a parallelogram has a base of 6 metres and a height of 4 metres, what is its area?

• 24 square metres

• 12 square metres

• 20 square metres

• 16 square metres

Answer explanation

The area of a parallelogram is calculated using the formula: Area = base × height. Here, Area = 6 m × 4 m = 24 square metres. Therefore, the correct answer is 24 square metres.

• 197.82 cubic metres

• 131.88 cubic metres

• 65.94 cubic metres

• 44.1 cubic metres

Answer explanation

The volume of a cylinder is calculated using the formula V = πr²h. Substituting r = 3m and h = 7m, we get V = 3.14 * (3²) * 7 = 3.14 * 9 * 7 = 197.82 cubic metres. Thus, the correct answer is 197.82 cubic metres.