Math 8 Review Quiz #2

Explanation
The area of a rectangle is calculated by multiplying the length and width of the rectangle. In this case, the length is given as 13' and the width is given as 7'. Therefore, the area of the rectangle is 13' x 7' = 91 square feet.

Explanation
The area of a rectangle is calculated by multiplying its length and width. In this case, the area is given as 500 sq. ft. and the width is given as 10 sq. ft. To find the length, we can divide the area by the width. 500 sq. ft. divided by 10 sq. ft. equals 50 ft. Therefore, the length of the rectangle is 50 ft.

Explanation
The area of a triangle can be calculated using the formula: Area = 1/2 * base * height. In this case, the base is 2.5 cm and the height is 4 cm. Plugging these values into the formula, we get: Area = 1/2 * 2.5 cm * 4 cm = 5 sq. cm. Therefore, the correct answer is 5 sq. cm.

Explanation
The height of a triangle can be calculated using the formula: Area = (base * height) / 2. In this case, the area is given as 20 sq. ft. and the base is given as 2 ft. By rearranging the formula, we can solve for the height: height = (2 * Area) / base = (2 * 20) / 2 = 20 ft. Therefore, the correct answer is 20 ft.

Explanation
The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle. In this case, the radius is given as 10 inches. Plugging this value into the formula, we get C = 2π(10) = 20π ≈ 62.8 inches. Therefore, the correct answer is 62.8".

Explanation
The circumference of a circle is calculated by multiplying the diameter by pi (π). In this case, the given circumference is 314 sq. cm. To find the diameter, we need to divide the circumference by pi (π). By doing this, we get 314/π ≈ 100 cm. Therefore, the diameter of the circle is approximately 100 cm.

Explanation
The area of a circle can be calculated using the formula A = πr^2, where A is the area and r is the radius. In this case, the radius is given as 1 ft. Plugging this value into the formula, we get A = 3.14 sq. ft. Therefore, the correct answer is 3.14 sq. ft.

Explanation
The surface area of a rectangular prism is calculated by finding the sum of the areas of all six faces. In this case, the length (l) is 3 inches, the width (w) is 5 inches, and the height (h) is 2 inches. To find the surface area, we need to calculate the area of each face and then add them together. The area of the top and bottom faces is l*w = 3*5 = 15 sq. in. The area of the front and back faces is l*h = 3*2 = 6 sq. in. The area of the left and right faces is w*h = 5*2 = 10 sq. in. Adding all these areas together, we get 15 + 15 + 6 + 6 + 10 + 10 = 62 sq. in.

Explanation
The volume of a rectangular prism is calculated by multiplying the length, width, and height. In this case, the length is 3 inches, the width is 5 inches, and the height is 2 inches. Therefore, the volume is 3 x 5 x 2 = 30 cubic inches.

Explanation
The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the volume is given as 24 cu. cm., the length is 6 cm., and the width is 2 cm. To find the height, we can rearrange the formula for volume and solve for height: height = volume / (length * width). Plugging in the given values, we get height = 24 / (6 * 2) = 2 cm. Therefore, the height of the rectangular prism is 2 cm.