Geometry Word Problems Worksheets

Geometry word problems can be challenging for students to tackle, but with the right worksheets, learning these concepts becomes much easier. Whether you're a teacher searching for resources to enhance your classroom instruction or a parent looking to provide extra practice for your child, our geometry word problem worksheets are designed to help students understand and master these complex mathematical concepts.

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  7th Grade Math Word Problems

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What is the area of a square with side length 5 units?

To find the area of a square, you simply square the length of one of its sides. Therefore, for a square with a side length of 5 units, the area would be 25 square units.

A rectangle has a length of 8 units and a width of 3 units. What is its perimeter?

The perimeter of the rectangle is calculated by adding up the lengths of all four sides, so in this case, it would be 2(8) + 2(3) = 16 + 6 = 22 units.

A circle has a diameter of 10 units. What is its circumference?

The circumference of a circle is calculated using the formula C = ?d, where d is the diameter of the circle. So, for a circle with a diameter of 10 units, the circumference would be 10? units or approximately 31.42 units.

A triangle has side lengths of 4 units, 6 units, and 8 units. Is it a right triangle?

Yes, the triangle with side lengths of 4 units, 6 units, and 8 units is a right triangle. This can be verified using the Pythagorean theorem, where a^2 + b^2 = c^2. In this case, the side lengths 4, 6, and 8 satisfy the equation 4^2 + 6^2 = 16 + 36 = 52, which is equal to 8^2. Therefore, the triangle is a right triangle.

A trapezoid has bases measuring 6 units and 10 units, and a height of 4 units. What is its area?

The area of a trapezoid is calculated by the formula: Area = 1/2 (sum of bases) x height. Substituting the given values, we have: Area = 1/2 (6 + 10) x 4 = 1/2 (16) x 4 = 8 x 4 = 32 square units. Therefore, the area of the trapezoid is 32 square units.

A cube has a side length of 3 units. What is its volume?

The volume of a cube is calculated by cubing the length of one of its sides, so for a cube with a side length of 3 units, the volume would be 3 units x 3 units x 3 units = 27 cubic units.

A cylinder has a radius of 5 units and a height of 10 units. What is its surface area?

The surface area of the cylinder can be calculated using the formula: 2?r^2 + 2?rh, where r is the radius and h is the height. Therefore, for a cylinder with a radius of 5 units and a height of 10 units, the surface area would be 2?(5)^2 + 2?(5)(10) = 157.08 square units.

A cone has a radius of 7 units and a slant height of 9 units. What is its volume?

The volume of a cone can be calculated using the formula V = (1/3)?r^2h, where r is the radius and h is the height (which in this case is the slant height). Plugging in the values, we get V = (1/3)?*7^2*9 = 441? cubic units. So, the volume of the cone is 441? cubic units.

An equilateral triangle has a side length of 12 units. What is its perimeter?

The perimeter of an equilateral triangle is found by multiplying the side length by 3 since all sides are equal. Therefore, the perimeter of an equilateral triangle with a side length of 12 units is 12 units x 3 = 36 units.

A rectangular prism has dimensions of 4 units, 5 units, and 6 units. What is its volume?

The volume of the rectangular prism with dimensions of 4 units, 5 units, and 6 units is 4 x 5 x 6 = 120 cubic units.