Pythagorean theorem - math word problems - page 70 of 73
Number of problems found: 1454
- Quadrilateral prism
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - A cone
A cone measures 6 inches in diameter at the base. The distance from the edge of the circumference to the top is 12 inches. Find its volume. - Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of the prism is 24 cm. - Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18 cm. - Quadrilateral pyramid
A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid - Pyramid wall height
How can you calculate the wall height of a pyramid when you know the base edge length is 28 mm and the body height is 42 mm? - Block diagonal calculation
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the space diagonal? - Spherical cap
The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut. - Wall and body diagonals
The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals. - Height of the cuboid
Cuboid with a rectangular base, measuring 3 cm and 4 cm diagonal, has a body 13 centimeters long. What is the height of the cuboid? - Rectangular base pyramid
The pyramid has a rectangular base of 2.8 m and 1.4 m and a height of 2.5 meters. Calculate an area of the shell of the pyramid. - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube. - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm. - Slant height
Find the cone's volume. The cone's slant height is 5cm, and the radius of its base is 3cm. - Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism? - Block diagonal
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal. - Diagonal of a cube
Calculate the volume of a cube with a face diagonal of u = 20 cm. - Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it? - Pyramid surface
A pyramid has a square base with an edge length of 6 cm and a height of 6 cm. Calculate its surface area. - Pyramid surface
Calculate the surface of a 3.5 m high quadrilateral pyramid with a rectangular base with dimensions of 3 m and 1.8 m.
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