Area and volume of Geometric Figures

Question 1

What is the area of the parallelogram?

Accepted Answer

5.76 cm2

Question 2

What is the area of the figure?

Accepted Answer

379 m2

Question 3

The volume of a cuboid with a length of 10 and width of 5 is 200cm3 . What is the height?

Accepted Answer

4cm

Question 4

The side length of a square is represented by 5x – 2. Which expression represents its area?

Accepted Answer

25x2 – 20x + 4

Question 5

Which calculation would not result in the correct area of the trapezoid?

Accepted Answer

(12/2)+(15/2)

Question 6

What is the volume of a sphere with a radius of 3cm?

Accepted Answer

36πcm3

Question 7

What is the area of a quarter of a circle that has a radius of 12 inches?

Accepted Answer

36π square inches

Question 8

One diagonal in a rhombus is 12 cm. The other is 1/3 as long. What is the area of the rhombus?

Accepted Answer

24 cm2

Question 9

An Isosceles right triangle has an area of 1800cm2 . What is the length of it's longest side?

Accepted Answer

84.85cm

Question 10

What is the approximate area of a paved surface made of a rectangle and semicircle as shown?

Accepted Answer

982.1 ft2

Question 11

What is the area of the regular hexagon?

Accepted Answer

216√3

Question 12

What is the name of this shape?

Accepted Answer

Octagonal prism

Question 13

A square has side length x. Its width is increased by 3 and its length by 5. The new area is

Accepted Answer

x2 + 8x + 15

Question 14

What is the area of a circle that has a diameter of 10?

Accepted Answer

25π

Question 15

A farmer has 64 ft of fence to make a rectangle. If the length is x, which represents its area?

Accepted Answer

x(32 – x)

Question 16

A cube has a length of 2cm, what is its surface area?

Accepted Answer

24cm2

Question 17

The volume of a cube is 274.625cm3, what is the height of the cube?

Accepted Answer

6.5cm

Questions 17