Volume
A cube has a side length of 6 inches. What is its volume?
What is 216 in³?
This type of interest is calculated only on the original principal and not on previously earned interest.
What is simple interest?
Find the lateral surface area of a rectangular prism with length 6 cm, width 4 cm, and height 5 cm.
What is 100 cm²?
(LSA = perimeter of base × height = 2(6+4) × 5 = 20 × 5 = 100)
A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. Find the missing leg.
What is 12 cm?
This is a mathematical sentence that shows two expressions are equal.
What is an equation?
A rectangular prism has a volume of 120 cm³. Its length is 10 cm and width is 3 cm. What is the height?
What is 4 cm?
$200 is invested at 5% interest compounded annually for 2 years. How much money is in the account at the end?
What is $220.50?
Find the total surface area of a cylinder with radius 3 cm and height 8 cm. Use 3.14 for π.
What is 207.24 cm²?
(TSA = 2πr² + 2πrh = 2(3.14)(9) + 2(3.14)(3)(8) = 56.52 + 150.72)
A ladder leans against a wall. The base is 6 ft from the wall, and the ladder is 10 ft long. How high up the wall does the ladder reach?
What is 8 ft?
Solve: x+7=15
What is 8?
A cylinder has a radius of 3 cm and a height of 10 cm. Use 3.14 for π. What is the volume?
What is 282.6 cm³?
You invest $1,000 at 6% for 2 years. Which earns more interest: simple or compound (compounded annually), and by how much?
What is compound interest by $3.60?
(Simple = $120, Compound = $123.60)
A triangular prism has a triangular base with base 6 cm and height 4 cm, and the other two sides are 5 cm each. The prism length is 10 cm. Find the total surface area.
What is 204 cm²?
(Base area = ½bh = 12 → two bases = 24; lateral = (6+5+5)×10 = 160; total = 184? Wait correction → 24 + 160 = 184 cm²)
Determine if a triangle with side lengths 7 cm, 24 cm, and 25 cm is a right triangle. Explain your reasoning.
What is Yes, it is a right triangle?
(7² + 24² = 49 + 576 = 625, and 25² = 625)
Solve: 3x−5=16
What is 7?
A rectangular prism has a volume of 120 cm³. Its length is 10 cm and width is 3 cm. What is the height?
What is 4 cm?
$200 is invested at 5% interest compounded annually for 2 years. How much money is in the account at the end?
What is $220.50?
Find the total surface area of a cylinder with radius 3 cm and height 8 cm. Use 3.14 for π.
What is 207.24 cm²?
(TSA = 2πr² + 2πrh = 2(3.14)(9) + 2(3.14)(3)(8) = 56.52 + 150.72)
A ladder leans against a wall. The base is 6 ft from the wall, and the ladder is 10 ft long. How high up the wall does the ladder reach?
What is 8 ft?
Solve: 4x+2≤18
What is x≤4
A cylinder has a radius of 3 cm and a height of 10 cm. Use 3.14 for π. What is the volume?
What is 282.6 cm³?
You invest $1,000 at 6% for 2 years. Which earns more interest: simple or compound (compounded annually), and by how much?
What is compound interest by $3.60?
(Simple = $120, Compound = $123.60)
A triangular prism has a triangular base with base 6 cm and height 4 cm, and the other two sides are 5 cm each. The prism length is 10 cm. Find the total surface area.
What is 204 cm²?
(Base area = ½bh = 12 → two bases = 24; lateral = (6+5+5)×10 = 160; total = 184? Wait correction → 24 + 160 = 184 cm²)
Determine if a triangle with side lengths 7 cm, 24 cm, and 25 cm is a right triangle. Explain your reasoning.
What is Yes, it is a right triangle?
(7² + 24² = 49 + 576 = 625, and 25² = 625)
Solve and graph the solution:
2x−3>7
What is x>5
(Graph: open circle at 5, shade to the right)