Fractions + cuboid - practice problems
Number of problems found: 76
- Building blocks
Rosa bought a set of building blocks for her younger brother, Owen, for his birthday. Owen opened the gift and immediately used all 35 blocks in the set to build a tower shaped like a rectangular prism. Each block is a cube that is 1 1/2 inches along each - 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? - Water 66
Water flows from a tap into a rectangular tank that measures 64cm by 36cm by 45cm. At 8 p. m., it is 1/4 filled with water. At 9 p. m., it is filled with 69,120 cm³ of water. Find the volume of water that has flowed into the tank from 8 p. m. to 9 p. m. G - A rectangular 9
A rectangular tank measuring 50 cm by 54 cm by 40 cm is 3/5 filled with water. 21.6L of the water is removed. What is the volume of water left in the tank? Give your answer in liters. - Dana and sandbox
Dana helped her dad build a sandbox for her younger sister. The sandbox is shaped like a rectangular prism, 4 1/2 feet long and 4 feet wide. Dana used bags of sand to fill the sandbox 1/2 of a foot deep. Each bag contained 1/2 of a cubic foot of sand. How - Aquarium 7098
The zoo has an aquarium with a length of 2.5 m, a width of 1.5 m, and a depth of 2 m. The water reaches 3/4 of the height of the aquarium. Can we put a 2 m³ stone in the aquarium without the water spilling out of the aquarium? (1=Yes, 0=No) - Roll of wallpaper
An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1/3 yards of paper for one box and 5/6 yards of paper for the other box. He must cut the paper into pieces that are 1/6 yard long. How many pieces will the student - Stones in aquarium
In an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep, the water is up to three-quarters of the depth. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes) - Stones in aquarium
In an aquarium with a length of 2 m, a width of 1.5 m, and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m³ into the aquarium without water being poured out? - Water 62
The water tank filled with 1/5 of water is in the shape of a cuboid with a height of 80 cm and a base measuring 30 cm x 40 cm. What is the height of the water level in the tank? - Swimming pool 5
A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yards tall. What is the volume of the pool? Round to the nearest tenth. - Dimensions 16913
The block's dimensions are in the ratio 16: 12: 8, and the sum of these dimensions is 240 decimetres. What are the dimensions of the block? - Dimension 5079
We will double one block dimension and reduce the other by a third. How does its volume change? - Lin has
Lin has a cake pan that has a length of 8/3 inches, a width of 15/4 inches, and a height of 3/2 inches. What is the volume of the cake pan? - Calculate 26051
The base of the prism has the shape of a square with a side of 10 cm. The height of the prism is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - Calculate 64584
The base of the block is a square with an area of 16 cm². The surface of the block is 128 cm². You calculate the volume of the block in cm³. - Dimensions 48033
A cube has an edge of 30cm. The cuboid has dimensions of the lower base, 45cm, and 10cm. What is the height of a cuboid if it has the same volume as a cube? - The length 9
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid? - Suppose 7
Suppose a rectangular classroom is 16 feet long, 24 feet wide, and has a volume of 3,763 cubic feet. How high above the floor is the ceiling? - Third dimension
Calculate the third dimension of the cuboid: a) V = 224 m³, a = 7 m, b = 4 m b) V = 216 dm³, a = 9 dm, c = 4 dm
Do you have homework that you need help solving? Ask a question, and we will try to solve it.