Pythagorean theorem - math word problems - page 55 of 73
Number of problems found: 1454
- Castle tower
The castle tower has a cone-shaped roof with a diameter of 10 meters and a height of 8 meters. If we add one-third to the overlap, calculate how many m² of coverage is needed to cover it. - Deviation of the lines
Find the deviation of the lines AG BH in the ABCDEFGH box-cuboid if given | AB | = 3cm, | AD | = 2cm, | AE | = 4cm - Jewelry box
The jewelry box is in the shape of a four-sided prism with the base of an isosceles trapezoid with sides a=15 centimeters, b is equal to 9 centimeters, c is equal to 10 centimeters, c is equal to 7 whole 4 centimeters. How much fabric is needed to cover a - Right triangular prism
We have a cuboid with a base and dimensions of 12 cm and 5 cm and a height of 4 cm. The tablecloth is cut into two identical triangular prisms with right triangular bases. We painted the surface of the created prisms with color. Calculate the surface area - Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in ratio 6:5. Calculate the height and radius of the cylinder base. - Prism height calculation
A regular triangular prism with a base edge of 35 cm has a volume of 22.28 l. Calculate its height. - Longest rod
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box. - Lampshade 3
A lampshade has the shape of a lateral surface of a cone with a slant height of 32 cm and a base diameter of 46 cm. Calculate the paper needed for its production, assuming 6% waste. - Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism. - Pentagonal pyramid
The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid. - Space diagonal angles
Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28 cm, b = 45 cm, and c = 73 cm. Then, find the angle between the body diagonal and the plane of the base ABCD. - The tent
The tent has the shape of a regular square pyramid. The edge of the base is 3 m long, and the tent's height is 2 m. Calculate how much cover (without a floor) is used to make a tent. - Pyramid surface volume
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm. - Storm and roof
The roof of the building is a cone with a height of 3 meters and a radius equal to half the height of the roof. How many m² of the roof need to be repaired if 20% were damaged in a storm? - Cone side
Calculate the volume and area of the cone whose height is 10 cm, and the axial section of the cone has an angle of 30 degrees between height and the cone side. - Pyramid Roof Sheet Metal
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8m and a base edge of 4m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof? - Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - Calculate cylinder
A cylinder has a volume V = 120 cm³ and a height v = 4 cm. Calculate the radius and the lateral surface area S. - Roof 7
The roof is a regular quadrangular pyramid with a base edge of 12 m, and a height of 4 m. How many percent is folds and waste if in construction was consumed 181.4m² of the plate was?
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