Volume + exponentiation - practice problems
Number of problems found: 19
- A cube 3
A cube of edge 100 cm has the same volume as a cube of edge 1 m. how many cubic centimeters make 1 cubic meter? - 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 - Cube-shaped 65084
The cube-shaped container can hold precisely 8 cm³ of bath salt. How many cm³ of bath salt will fit in a cube-shaped container with an edge twice as long? - Original 18203
There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube?
- Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - Cube surface and volume
Find the surface of the cube with a volume of 27 dm³. - Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Cube
One cube has an edge increased five times. How many times will larger its surface area and volume?
- Kilometer 2864
One cubic decimeter of seawater contains 0.000 000 01 grams of gold. How many kilograms of gold is in one cubic kilometer of seawater? - Determine 2429
Determine the length of the cube's edge, the volume of which is equal to 60% of the volume of a block measuring 7cm, 8cm, and 6cm. - Cube 6
The volume of the cube is 216 cm³. Calculate its surface area. - TV transmitter
The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have - Volume from surface area
What is the volume of the cube whose surface area is 96 cm²?
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Scale
The student drew the cylinder in scale 2:1. How many times is the volume of the cylinder smaller in reality? - Balls
Three metal balls with volumes V1=81 cm³ V2=96 cm³ and V3=28 cm³ melted into one ball. Determine its surface area. - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately?
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