Surface area + comparing - practice problems
Number of problems found: 18
- Create 6
Create a new drink can that will double the volume of the original can used. Dimensions of the can: 6cm diameter and 10cm height. You are to double the volume with the least amount of additional aluminum needed for the new can. There are 3 options : Optio - A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - Storage shed
Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof. A square base of 6 feet and four square sides, plus 4 feet of - Cube-shaped 4075
Will you need more paper to wrap a 2.3dm cube box or a 12 cm, 3 dm, and 8 cm cube-shaped box?
- Sheet of paper
Is the sheet of paper measuring 18 and 25 cm enough for taping 9 cm cubes with an edge? (1 = yes, 0 = no) - The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm. - Milk cartons
How much paper do we need for 12 tetra packs with dimensions 6 cm, 11 cm, and 20 cm? Will 1 liter of milk fit in the box? - Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball? - Block-shaped 13531
The sheet of wrapping paper measures 100cm and 70cm. Is it enough to wrap a gift in a block-shaped box with dimensions of 40 cm, 25 cm, and 20 cm?
- Playstation
Anton wants to cover the cover for the game on the Playstation with the original paper. The cover has the shape of a block measuring 13 cm × 17 cm × 15 cm. Anton bought 0.35 m² of silver paper. Will the paper be enough to cover the cover? (1 = Yes, 0 = No - Rotating 28501
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm. - Paper box
Calculate whether 11 dm² of paper is sufficient for gluing a box without a lid with bottom dimensions of 2 dm 15 cm and 12 cm high. Write result as: 0 = No, 1 = Yes - Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height, v = 15 cm. Which of these two bodies has a larger surface area? - A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm and b = 15 cm. Calculate how many cm² the package is larger than the cube's surface.
- Wallpaper
3750 cm square of wallpaper is needed to glue a cube-shaped box. Can Dad cut out the whole necessary piece of wallpaper if he has a roll of wallpaper 50 cm wide? - Three-sided 24171
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm. - Identical 81642
What is the largest surface area of a square glued together from 12 identical cubes with an edge length of 1 cm? - Colored paper
Can a 4 cm, 3 cm, and 2 cm block be glued with a colored quarter of paper measuring 7 cm and 8 cm?
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