1. A right triangle has legs of 15 cm and 8 cm. Find the longest side. Formula a² + b² = c²
2. Solve for x: 3x + 5 = 20, and Solve for y: 9y - 15 = 52
3. Find the surface area and volume of a rectangular prism; L= 10mm, W= 8mm, H= 7mm
4. Find the supplement of each angle. a) 65 degrees, b) 90 degrees, c) 100 degrees, d) 55 degrees
5. What is the surface area and volume for a pyramid; L= 13 in., W= 13 inches, and H= 9 inches.
Formulas for square pyramid: V=⅓ x L x W x H, SA= (L x W) + 4 x (½ x L x slant height);
Slant height, a² + b² = c², (½ x length)² + (height)² = c²
6. Find the volume of a cone. Height 26 feet, Radius 15 feet, Formula for cone: ⅓ x π x r² x height
7. Find volume and surface area of cylinder. Radius 3 cm, Height 15 cm,
Formula for cylinder V= π x r² x height, SA = 2 x π x r² + 2 x π x r x h
8. Find the area of the similar figures. The ratio of similar figures is 3 m = 12 cm. The larger triangle has a base of 3 m, height 4 m.
Formula: Area of triangle ½ x b x height. Ratio of Similar figures is squared for area
9. Find the perimeter of the similar triangles. The ratio of similar figures is 15 inches = 3 feet. The smaller triangle has sides of 15 in, 24 in, and 9 in.
10. Find the missing angles from the picture below. Angle 1 = 75 degrees. Angle 2=___,
Angle 3=___, Angle 4= ___, Angle 5 = ___, Angle 6= ___, Angle 7= ____, Angle 8 =____
Here's a few hints on the answers
ReplyDelete1. square root of 289
2. 15 ÷ 3
3. V= 56 x 10 mm³, SA= 160 + 140 + 112 mm²
4. 180-65
5. V= ⅓ of 1183 in³,
Slant height square root of 123.25
SA= 169 + 289
6. ⅓ x π x 5850 ft³
7. V= π x 135 cm³, SA= 18 x π + π x 90 cm²
8. Area of larger triangle 6 m², Smaller triangle 16 X 6 cm²
9. Perimeter of smaller triangle 48 in.,
larger triangle 48 ÷ 5 ft.
10. Angle 2, 180-75 Angle 3, 180-75,
Angle 5 = Angle 1