Triangle practice problems - page 67 of 126
Number of problems found: 2520
- Line equation
The given triangle is ABC: A [-3; -1] B [5; 3] C [1; 5] Write the line equation that passes through the vertex C parallel to the side AB. - Right triangle - leg
Calculate the nearest tenth cm leg length in the right-angled triangle with hypotenuse length 9 cm and 7 cm long leg. - Prism base volume
A three-sided prism with a base in the shape of an equilateral triangle has a volume of 370 dm³. What is the volume of its base if it is 50 cm high? - Cone - side
If the cone's height is 125 mm and its side length is 17 cm, find its surface area and volume. - Hexagonal pyramid
Find the area of a shell of the regular hexagonal pyramid if you know that its base edge is 5 cm long and the height of this pyramid is 10 cm. - Angle of cone
The cone has a base diameter of 1.5 m. The angle at the central apex of the axial section is 86°. Calculate the volume of the cone. - Pile of sand
A large pile of sand has been dumped into a conical pile in a warehouse. The slant height of the pile is 20 feet. The diameter of the base of the sandpile is 31 feet. Find the volume of the pile of sand. - 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. - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Gardens
The square garden is 3/4 of the area of the triangular garden, which has sides of 80 m, 50 m, and 50 m. How many meters of fence do we need to fence a square garden? - Coordinates of square vertices
I have coordinates of square vertices A / -3; 1/and B/1; 4 /. Find coordinates of vertices C and D, C and D. Thanks, Peter. - Cone calculation complete
There is a rotating cone: r = 6.8 cm s = 14.4 cm. Find the area of the cone surface S2, the height h, and the volume V. - Triangular prism
Calculate the surface of a triangular prism with the base of an equilateral triangle with a side length of 7.5 cm and a corresponding height of 6.5 cm. Prism height is 15 cm. - Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally. - A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell. - Triangular prism
Calculate the volume and surface of the triangular prism ABCDEF with the base of an isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm. - Cube diagonals
Determine the length of the body and wall diagonals of the cube, the volume of which is equal to 0.343 decimetres. Also, calculate its surface. - Central park in city
A city park is rectangular, 180 m long and 120 m wide. People walk diagonally through the centre from one corner to the opposite corner. How many metres shorter is this path compared to walking along two sides of the perimeter? - Frustrum - volume, area
Calculate the surface and volume of the truncated cone. The radius of the smaller figure is 4 cm, the height of the cone is 4 cm, and the side of the truncated cone is 5 cm. - Isosceles + prism
Calculate the volume of the perpendicular prism if its height is 17.5 cm and the base is an isosceles triangle with a base length of 5.8 cm and an arm's length of 3.7 cm.
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