5.1B Algebraic Expressions Squares and Cubes

5.1B Squares & Cubes

1G1 Textbook page 169 - 173
Understanding Algebraic Expressions

Fill in the Blanks

The area of this rectangle is

m².

Fill in the Blanks

The area of this rectangle is

cm².

Fill in the Blanks

The area of a square with sides of length 5 cm
is

cm².

The area of the square is found by
length × length

Area of square = 5 × 5
= 25 cm².

In other words, we take the square of the length.

5 × 5 can be written as 5².

​

​Area of a Square

5 × 5 can be written as 5²

In general, if the length of the square is s cm, then its area = s × s cm². s

s × s can be written as s²
We say “s squared”.

​ s × s = s²

​Area of a Square

Multiple Choice

s² means

• s × s

• s × 2

• 2s

The volume of a cube is found by
length × length × length

Volume of cube = 7 × 7 × 7 = 343 cm³.

7 × 7 × 7 can be written as 7³.
We read it as “7 cubed”.

​

​Volume of a Cube

​Volume of a Cube

​7 × 7 × 7 can be written as 7³

In general, if the length of the cube is s cm, then its Volume = s × s × s cm³.

s × s × s can be written as s³
We say “s cubed”.

​ s × s × s = s³

Multiple Choice

L³ means

• L × L

• L × 3

• 3L

• L × L × L

Multiple Choice

What is the formula to find Volume of a cuboid (rectangular box)?

• length × breadth × height

• length × breadth

• length × height

The volume of a cube is found by
length × length × length

Volume of cube = 7 × 7 × 7 = 343 cm³.

7 × 7 × 7 can be written as 7³.
We read it as “7 cubed”.

​

​Volume of a Cube

Multiple Choice

What is the volume of this cuboid in its simplest form?

• k × s × s

• kss

• ks

• ks²

Multiple Choice

Simplify 7 × s

• 7s

• s7

• 7^s

• s⁷

Multiple Choice

Simplify 7 × s³

• 7s³

• 21s

• s²¹