Triangle practice problems - page 70 of 126
Number of problems found: 2520
- 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. - 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? - Wall and body diagonals
The block/cuboid has dimensions a = 4 cm, b = 3 cm, and c = 12 cm. Calculate the length of the wall and space diagonals. - 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 = 12 cm and pyramid height h = 20 cm. - Triangular prism
Calculate the volume of a triangular prism 10 cm high, the base of which is an equilateral triangle with dimensions a = 5 cm and height va = 4,3 cm - Prism height
The volume of the triangular prism is 200 dm3, and the base is a triangle with a side of 10 dm and a corresponding height of 5 dm. Calculate the height of the prism. - Height of the room
Given the floor area of a room as 24 feet by 48 feet and the space diagonal of a room as 56 feet. Can you find the height of the room? - Equilateral tetrahedral pyramid
The base edge of a regular tetrahedral pyramid is a = 4 cm. The base and walls are equilateral. Calculate the surface of this pyramid. - A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R? - Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long. - House volume
V = 35 m α = 55° β = 15° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - Triangular prism
Determine the volume and surface of a 9 cm high triangular prism if its base is an equilateral triangle with an 8 cm side. - Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Cone slope
Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base. - Cone surface volume
Calculate the surface and volume of the cone if you know that the base radius r = 5 dm and the side length s = 7 dm. - Surface and volume - cube
Find the surface and volume of a cube whose face diagonal is 5 cm long. - The rotating
The rotating cone has a height of 0.9 m, and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone)
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