Boxes
Petra has planted flowers in two boxes in the shape of a cube. The first box has an internal dimension of 70 cm and the second 5 dm. She wants to make one box in the shape of a cuboid, into which she could transplant both flowers from these boxes. The new box is to have the same internal volume as both cube boxes together, two square side walls, and a height of 60 cm.
1. calculate in cm the length of the longest internal edge of the box that Petra wants to make
2. determine in litres the volume of soil that Petra will need to fill the new box up to the upper edge
Your answer:
1. calculate in cm the length of the longest internal edge of the box that Petra wants to make
2. determine in litres the volume of soil that Petra will need to fill the new box up to the upper edge
Your answer:
Tips for related online calculators
Do you know the volume and unit volume, and want to convert volume units?
The Pythagorean theorem is the base for the right triangle calculator.
The Pythagorean theorem is the base for the right triangle calculator.
You need to know the following knowledge to solve this word math problem:
algebraarithmeticsolid geometryplanimetryUnits of physical quantitiesGrade of the word problem
Related math problems and questions:
- Mr. Gardener
Mr. Gardener wants to make wood for the balcony. Boxes. Each will have the shape of a perpendicular prism with a square base. The height is limited to 60 cm. He will fill each container with soil by pouring the whole bag of substrate sold into a package c - Container
The container-shaped box with internal dimensions of 3.9 m, 3.25 m, and 2.6 m was completely filled with goods in the same cubic boxes. How long edge could this box have? - Moving boxes
Karen is moving into a new house. She has a lot of books to pack in small moving boxes. The dimensions of one small moving box are: base 1 ft × 4 ft, side height 2 ft, and depth 3/4 ft. What is the volume of the small moving box? - Perimeter of a triangle
A triangle has the shortest side a=5 cm, the middle side b, and the longest side c=10 cm. A square has a side x=7 cm, which is as long as the side b of the mentioned triangle. A cuboid has a height of 12 cm, a length the same as the longest side of the tr - Cuboid and cube
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - Balls
Ping-pong balls have a diameter of approximately 5.5 cm. It is sold in boxes of 8 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls. - Cardboard box
Peter had a square piece of cardboard whose edge length was an integer number of decimetres. He cut a 3 dm square from each corner and folded up the sides to make a box that held exactly 108 unit cubes (each with a 1 dm edge). Julia cut 2 dm squares from
