Volume + area of a shape - practice problems - page 5 of 24
Number of problems found: 465
- Cross-section 79984
A ditch with a cross-section in the shape of an isosceles trapezoid with bases of 3 m and 5 m and arms of length 2 m is 2.5 meters deep and 10 meters long. How many cubic meters of soil did they have to excavate when digging it? - Perpendicular 79804
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3cm and 4cm. The he - Expressed 79474
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube. - Dimensions 79294
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste.
- Prism-shaped 78774
How many hectoliters of water are in a rectangular prism-shaped pool if the top is 6m wide, the bottom is 4m wide, the pool is 2m deep, and the pool is 12m long? - Cube-shaped 77974
How much shelf space does a cube-shaped aquarium take up if it holds 27 liters of water? - Calculate 75014
The surface of a cube is equal to 294 square meters. Calculate the edge and volume of the cube. - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x. - Calculate 74794
A wooden cylinder with a diameter of 20 cm and a length of 1 m is immersed in water. The specific weight of wood is 700kg/m³. For example, calculate the height of the wood that is above the water. The role was assigned to me as a high school freshman math
- Calculate 74674
Calculate a cube's surface area and edge if its volume equals 3375 cubic meters. - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and - Calculate 73704
A vertical regular 3-sided pyramid is given. The side of the base a = 5cm, and the height is 8 cm. Calculate the volume and area. - Calculate 73534
The sphere has a diameter of 70 cm. Calculate its surface area and volume.
- Calculate 73434
Calculate the volume and surface area of the cone with a diameter of 20 cm and a height of 15 cm. - Equilateral 73374
The axial section of the cone is an equilateral triangle with a side of 12 cm. Surface and volume calculation. - A capacity
Suppose the cylinder at the right holds a capacity of 2 205 cm³ and its base area of 105 cm². How high is the cylinder? - Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - Casserole 72634
The casserole with a volume of V = 4.5 l has a depth of h = 10 cm. Calculate its inside diameter.
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