Volume + expression of a variable from the formula - practice problems
Number of problems found: 630
- Height of the box
The box needs to have a volume of 108 ¾ cubic inches. If the width of the box is going to be 7 ¼ inches, and depth of the box is going to be 1 ¼ inches, what must the height of the box be? - Tomato plant
Bruce's grandmother loves to use fresh tomatoes in her homemade pasta sauce. Bruce thought she might like to grow her own, so he bought her a planter box and a tomato plant. The planter box is shaped like a rectangular prism. It is 12 1/2 inches long, 10 - Calculate 415
Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm². - 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? - Orange juice
Water and orange are mixed in a ratio of 7:4. An amount of 36 cm³ of orange is used. What volume of water is used? - The volume 9
The volume of a large tank is 210 yd³. its 2 2/5 yd wide and 2 4/5 yd high. What is the length of the tank? - Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - A water 2
A water tank is 2m long, 1.9m wide, and 964 mm deep. How much water will it hold? Answer in liters. 2nd question: A tank that is 2.5 m long and 1.5m deep holds 6.75 cubic meters of water. What is its width? - The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height. - The cup
In a measuring cup set, the cup measure is 6 cm wide. The set also contains a 1-cup measure and a cup measure, both of which are similar in shape to the cup measure. Find the width of: a) 1/2 cup b) the 1 cup measure c) the 1/3 cup measure. - Poured liquid
If I pour 59ml of liquid into an area of 594 sq mm, how thick would the liquid be? - The volume 7
The volume of a cylindrical can is 75.36 in³. The diameter is 4 inches. Find the height. Use 3.14 as an estimation for pi. - Quadrilateral 83324
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid. - Calculate 83311
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume. - Cylinder's 83288
Calculate the radius of the cylinder's base if its volume is equal to 12.56 cm². - Quadrilateral 83254
What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm? - Decimeters 83242
The axial section of the cylinder is a square with a content of 56.25 cm². Calculate its surface area and volume. Express the result in square decimeters and cubic decimeters and round to hundredths. - Cylindrical 83193
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm. - Original 83173
When drying, the modeling mass loses 36% of its original volume. If the cube's volume is 5.12 dm³ after drying, what was the original length of the edge? - Dimensions 83135
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths?
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