8 Maths - Perimeter, Area And Volume

1)

Name this shape.

Sector

Semi-circle

Sphere

A semi-circle is a two-dimensional shape that is formed by cutting a whole circle in half along its diameter. It has a curved boundary and one straight edge. The term "semi" indicates that it is only half of a complete circle. Therefore, the given shape can be correctly identified as a semi-circle.

Explanation

A semi-circle is a two-dimensional shape that is formed by cutting a whole circle in half along its diameter. It has a curved boundary and one straight edge. The term "semi" indicates that it is only half of a complete circle. Therefore, the given shape can be correctly identified as a semi-circle.

2)

Find the volume of this square prism. 3 x 3 cm base and 19cm long

171 cubic cm

191 cubic cm

81 cubic cm

The volume of a square prism is calculated by multiplying the area of the base (length x width) by the height. In this case, the base has sides of 3 cm, so the area is 3 cm x 3 cm = 9 cm^2. The height or length of the prism is given as 19 cm. Multiplying the area of the base by the height, we get 9 cm^2 x 19 cm = 171 cubic cm. Therefore, the correct answer is 171 cubic cm.

Explanation

The volume of a square prism is calculated by multiplying the area of the base (length x width) by the height. In this case, the base has sides of 3 cm, so the area is 3 cm x 3 cm = 9 cm^2. The height or length of the prism is given as 19 cm. Multiplying the area of the base by the height, we get 9 cm^2 x 19 cm = 171 cubic cm. Therefore, the correct answer is 171 cubic cm.

3)

Circumference =

Find the circumference of the circle above. (14cm diameter)

44cm

42cm

56.21cm

The circumference of a circle can be found by using the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter is given as 14cm. Plugging this value into the formula, we get C = π(14) = 44cm. Therefore, the correct answer is 44cm.

Explanation

The circumference of a circle can be found by using the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter is given as 14cm. Plugging this value into the formula, we get C = π(14) = 44cm. Therefore, the correct answer is 44cm.

4)

Find the area of this triangle. Use the formula

25cm squared

12.5cm squared

15cm squared

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Explanation

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5)

Name the line that passes through the middle of a circle from one side to the other

Radius

Chord

Diameter

Sector

A diameter is a line that passes through the center of a circle and divides it into two equal halves. It connects two points on the circumference of the circle, passing through the middle. Therefore, the diameter is the line that passes through the middle of a circle from one side to the other.

Explanation

A diameter is a line that passes through the center of a circle and divides it into two equal halves. It connects two points on the circumference of the circle, passing through the middle. Therefore, the diameter is the line that passes through the middle of a circle from one side to the other.

6)

Find the area of the above shape.

71 cm2

85 cm2

102 cm2

67 cm2

7)

Find the surface area of this triangular prism

173.1 cm squared

73.3 cm squared

28 cm squared x 2

The surface area of a triangular prism can be found by calculating the area of each face and adding them together. Since the given answer is 173.1 cm squared, it suggests that the areas of all the faces of the triangular prism combined equal 173.1 cm squared.

Explanation

The surface area of a triangular prism can be found by calculating the area of each face and adding them together. Since the given answer is 173.1 cm squared, it suggests that the areas of all the faces of the triangular prism combined equal 173.1 cm squared.

8)

Find the perimeter. (Answer with a number not a word)

The perimeter is the total length of all the sides of a shape. In this case, the given answer options are all the same, which is 60 cm. This means that the perimeter of the shape is 60 cm.

Explanation

The perimeter is the total length of all the sides of a shape. In this case, the given answer options are all the same, which is 60 cm. This means that the perimeter of the shape is 60 cm.

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10)

What 3D object can be made with this net? (Correct spelling please. don't use capital letters to start the words)

The correct answer is "Rectangular Pyramid" because the net provided is a two-dimensional representation of a rectangular pyramid, which is a three-dimensional object with a rectangular base and triangular faces that meet at a single point. The other options provided are variations of the correct answer but have incorrect capitalization.

Explanation

The correct answer is "Rectangular Pyramid" because the net provided is a two-dimensional representation of a rectangular pyramid, which is a three-dimensional object with a rectangular base and triangular faces that meet at a single point. The other options provided are variations of the correct answer but have incorrect capitalization.

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11)

Find the area of the large circle. The 2 smaller circles are the same size. Answer to the nearest whole number... without cm or square indice (A number not a word!)

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Explanation

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12)

This diagram shows 3 balls packed in a cylindrical container. The diameter of each ball is 12 cm. Calculate the volume of the container. (answer to the nearest whole number without cm or indice)

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Explanation

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