Right triangle practice problems - page 45 of 86
Number of problems found: 1716
- Slant height 2
A regular triangular pyramid with a slant height of 9 m has a volume of 50 m³. Find the lateral area of the pyramid.
- Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm.
- Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
- 3s prism
A regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm is given. Calculate the prism's volume.
- Measures 23791
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal?
- Perpendicular prism
Calculate the volume of the vertical prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs.
- Body diagonal
Find the length of the body diagonal of a cuboid with edges lengths of 16 cm, 7 cm, and 4 cm.
- Centimeters 6593
What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres?
- Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm.
- Body diagonal
Find the cube surface if its body diagonal has a size of 6 cm.
- Perpendicular 6624
A = 3 cm b = 4 cm prism height h = 10cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b.
- Cross-section - trapezoid
The cross-section of the channel has the shape of a trapezoid. The bottom width is 2.25 m, and the depth is 5 m. The walls have a slope of 68°12' and 73°45'. Calculate the upper channel width.
- 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.
- Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long.
- 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 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?
- Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long.
- Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm.
- A trapezoid
A trapezoid with a base length of a = 36.6 cm, with angles α = 60°, β = 48°, and the height of the trapezoid is 20 cm. Calculate the lengths of the other sides of the trapezoid.
- Diagonals 7084
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm.
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