MODULE 3

Volume

100

What is the volume of a sphere with a radius of 4 cm? (Use π ≈ 3.14)

268.08 cubic centimeters

200

If a cone has a radius of 3 cm and a height of 6 cm, what is its volume? (Use π ≈ 3.14)

 56.52 cubic centimeters

300

A cylinder has a radius of 2 meters and a height of 5 meters. What is its volume? (Use π ≈ 3.14)

62.8 cubic meters

400

What is the volume of a cube with a side length of 4 inches?

64 cubic inches

500

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

30 cubic centimeters

Scientific Notation

100

Write 87,000 in scientific notation.

8.7 x 10⁴

200

Write 0.0056 in scientific notation.

5.6 x 10^-3

300

Write 4.5 x 10³ in standard form.

1. 4500

400

Write 2.3 x 10^-4 in standard form.

0.00023

500

write 56000 in scientific notation

5.6x10⁴

Laws of Exponents

100

2²x3³=

108

200

6²x6²=

1296

300

5²x5²=

625

400

2²x5⁵=

6250

500

7²⁺6³= 

10,584

Complex Shape

100

what is a composite shape

A composite shape is a 2D shape made by joining two or more basic shapes

200

What are shapes?

Shapes are the graphical representation of objects in the form of their outer lines.

300

what the area of a composite shape made of two rectangles, one with dimensions 5cm x 3cm and the other with dimensions 4cm x 2cm.

• Rectangle 1 area: 5cm x 3cm = 15 cm².
• Rectangle 2 area: 4cm x 2cm = 8 cm².
• Total area: 15 cm² + 8 cm² = 23 cm².

400

What is the area of a composite shape made of a square with sides of 6m and a triangle with a base of 6m and a height of 4m attached to one of its sides?

• Square area: 6m x 6m = 36 m².
• Triangle area: 1/2 x 6m x 4m = 12 m².
• Total area: 36 m² + 12 m² = 48 m².

500

what is a decagon

a plane figure with ten straight sides and angles.

Pythagorean

100

What is the hypotenuse?

 The hypotenuse is the longest side of a right-angled triangle, and it's always opposite the right angle.

200

 Can you use the Pythagorean theorem on any triangle?

No, the Pythagorean theorem only applies to right-angled triangles.

300

 How can you use the Pythagorean theorem to find a missing side length in a right-angled triangle?

If you know the lengths of two sides of a right-angled triangle, you can use the Pythagorean theorem to find the length of the third side. For example, if you know 'a' and 'b', you can solve for 'c' (the hypotenuse): c = √(a² + b²).

400

Is 3, 4, 5 a Pythagorean triple?

Yes, 3, 4, and 5 form a Pythagorean triple because 3² + 4² = 5² (9 + 16 = 25).

500

Is 6, 8, and 10 pythagorean triples.

6, 8 and 10 are pythagorean triplets.