Expression of a variable from the formula + prism - practice problems - page 6 of 7
Number of problems found: 137
- 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. - ABCDA'B'C'D 6261
The ABCDA'B'C'D 'prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC 'is 11.4 cm long. Calculate the surface area and volume of the prism. - Calculate 6207
The cuboid with a base measuring 17 cm and 13 cm has a surface of 1342 cm². Calculate the height of the cuboid and sketch its network. - Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?
- Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then the plasticine was split into two parts in a ratio of 1:8. From each piece made, a cube. In what ratio are the surfaces of these cubes? - Right-angled 6034
A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism. - 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 - Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 cm.
- Diamond base
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres) - Trench
The trench is a four-sided prism. The cross-section has a trapezoidal shape with basements of 4m and 6m, and the length of the trench is 30m. What is the depth of the trench if we dig 60,000 l of soil? - Water channel
The cross-section of the water channel is a trapezoid. The bottom width is 19.7 m, the water surface width is 28.5 m, and the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flows - Dimensions 5143
Mr. Winter is building a fence from perforated brick elements in the shape of a cuboid with dimensions of 15 cm, 15 cm, and 20 cm. the fence will be 15 cm wide, 150 cm high, and 10 m long. The mortar space will occupy 0.25 m³. How many brick elements does - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³.
- Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Quadrangular prism
The quadrangular prism has a volume of 648 cm³. Trapezoid which is its base has the dimensions bases: a = 10 cm, c = 5 and height v = 6 cm. What is the height of the prism? - ----------------- 4850
v = 35 m α = 55 ° β = 15 ° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - Prism
Calculate the height of the prism having a surface area of 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters?
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