Quiz about Shapes and Volumes

Question 1

A perimeter can be expressed in

Accepted Answer

$$m$$

Answer

$$m^2$$

Answer

$$m^3$$

Question 2

1mm = ?

Accepted Answer

1 m / 1000

Answer

1 cm x 100

Answer

1 m x 1000

Answer

1 cm / 100

Question 3

What is the volume of this shape?

Accepted Answer

$$17.5m^3$$

Answer

$$17.5km^3$$

Answer

$$17.5cm^3$$

Answer

$$17.5mm^3$$

Question 4

What is the dimension of the hypotenuse (in red)?

Accepted Answer

$$\sqrt[]{\left(4^2+3^2\right)}$$ cm

Answer

$$4+3$$ cm

Answer

$$4^2+3^2$$ cm

Answer

$$\sqrt[]{4+3}$$ cm

Question 5

The area of a region is...

*(multiple answers)

Accepted Answer

Measured in terms of the number of square units it encloses

Accepted Answer

The amount of surface within its boundaries

Answer

The total distance around its boundaries

Question 6

This shape represents the surface area of...

Accepted Answer

A triangular prism

Answer

A cylinder

Answer

A rectangular prism

Answer

A cuboid

Question 7

$$5cm^2\ $$ = ?

Accepted Answer

$$500mm^2$$

Answer

$$5mm^2$$

Answer

$$50mm^2$$

Answer

$$5000mm^2$$

Question 8

This shape represents the surface area of ..

Accepted Answer

A cylinder

Answer

A sphere

Answer

A rectangular prism

Answer

A circle

Question 9

What is the algebraic area of this shape?

Accepted Answer

$$2ab+\frac{\pi a^2}{2}$$

Answer

$$5cm^2$$

Answer

$$\frac{\pi a^2}{2}$$

Answer

$$2ab$$

Question 10

What would be the best surface estimate of a football pitch?

Accepted Answer

$$7000m^2$$

Answer

$$70m^2$$

Answer

$$700m^2$$

Answer

$$70000m^2$$

Question 11

What is the volume of this shape?

Accepted Answer

$$56.25\pi\ m^3$$

Answer

$$56.25\pi\ m^2$$

Answer

$$225\pi\ m^2$$

Answer

$$225\pi\ m^3$$

Question 12

Select the correct proposals.

*(multiple answers)

Accepted Answer

A mathematical model is one representation of the reality. It contains multiple sources of inaccuracies.

Accepted Answer

The same object can have several mathematical models

Answer

A mathematical model is an exact restitution of the reality. It does not have any inaccuracies.

Question 13

What is the volume of this shape?

Accepted Answer

$$80cm_{ }^3$$

Answer

$$40cm^3$$

Answer

$$160cm_{ }^3$$

Answer

$$320cm_{ }^3$$

Question 14

The surface area of a 3D shape can be expressed in...

Accepted Answer

$$m^2$$

Answer

$$mm^3$$

Answer

$$cm$$

Answer

$$km^3$$

Question 15

What is the formula for the volume V of this shape?

With d = 40cm, r = 20 cm and h = 2m.

Accepted Answer

$$V\ =\frac{\left(\pi r^2h\right)}{2}$$

Answer

$$V\ =\pi r^2h$$

Answer

$$V\ =\pi d^2h$$

Answer

$$V\ =\frac{\left(\pi d^2h\right)}{2}$$

Question 16

The surface area of this volume is ...

*(multiple answers)

Accepted Answer

$$>200cm^2$$

Accepted Answer

expressed in $$cm^2$$

Answer

$$=3000cm^3$$

Answer

expressed in $$cm^3$$

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