What is the formula for calculating the area of a rectangle?

The formula for calculating the area of a rectangle is A = l × w, where A represents area, l represents length, and w represents width.

A trapezoid has bases measuring 8 inches and 12 inches, with a height of 4 inches. Calculate its area.

Area: 40 square inches

• Formula used for calculation.

• Bases are 8 and 12 inches.

• Height of trapezoid is 4 inches.

Fill in the blank: The area of a circle is given by the formula A = πr², where r is the ___.

Radius

True or False: The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius of the base and h is the height.

True

Riddle: I have no corners, I'm round as can be. My area is π times my radius squared. What am I?

A circle

What is the relationship between the volume of a pyramid and a prism with the same base and height?

The volume of a pyramid is one-third the volume of a prism with the same base and height, expressed by the formula V = 1/3 B h.

If a rectangular prism has dimensions of length 10 cm, width 5 cm, and height 2 cm, what is its volume?

The volume is calculated using V = l × w × h. Thus, V = 10 × 5 × 2 = 100 cubic cm.

Fill in the blank: The area of a triangle can be determined using the formula A = 1/2 × b × h, where b is the base and h is the ___.

Height

A swimming pool has a length of 20 feet, a width of 10 feet, and a depth of 5 feet. What is its volume?

The volume is calculated using V = l × w × h. Therefore, V = 20 × 10 × 5 = 1000 cubic feet.

True or False: The area of a square is always equal to the product of its sides.

False. The area of a square is equal to the side length squared (A = s²), not the product of sides since all sides are equal.