Pythagorean theorem + prism - practice problems - last page
Number of problems found: 99
- Hexagonal 6424
Calculate the volume and surface of a regular hexagonal prism, the base edge of which is 5 cm long and its height is 20 cm. - 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 a prism is 24 cm. - 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? - Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 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? - The gable
The house's gable has the shape of an isosceles triangle, which has a base length of 14 meters, and arms with a length of 8 meters. What is the tall gable of the house? - Hexa prism
Determine the volume of the hex prism with an edge base of 4 cm. The body height is 28 cm. - 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? - Equilateral 2714
Determine the volume and surface of a 9 cm high triangular prism if the base is an equilateral triangle with a side of 8 cm.
- 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. - Prism
Find the volume and surface area of a prism with a base of an equilateral triangle with a side of 7 dm long and a body height of 1.5 m. - Consumption 4259
What is the consumption of fabric per tent: Length 250, width 180, the height of triangle 120, sides 150 (all cm). What is the volume of air in the tent? - Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block.
- Wall and body diagonals
Calculate the lengths of the wall and body diagonals of the cuboid with edge dimensions of 0.5 m, 1 m, and 2 m - 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? - Dimensions 4703
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal. - Three faces of a cuboid
The diagonal of the three faces of a cuboid are 13,√281, and 20 units. Then the total surface area of the cuboid is. - A prism
A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square of 10cmx10cm. Find the volume of the prism.
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