Present

Gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover with square paper with sides of 18 cm. How much paper left him?

Correct answer:

x =  100 cm²

Step-by-step explanation:

$$\begin{gathered} d=18\text{ cm } \\ {S}_1=d\cdot d=18\cdot 18=324{\text{cm}}^2 \\ a=8\text{ cm } \\ b=8\text{ cm } \\ c=3\text{ cm } \\ {S}_2=2\cdot (a\cdot b+a\cdot c+b\cdot c)=2\cdot (8\cdot 8+8\cdot 3+8\cdot 3)=224{\text{cm}}^2 \\ x=S_1-S_2=324-224=100{\text{cm}}^2 \end{gathered}$$

Try another example

Related math problems and questions:

• Paper box
  Calculate whether 11 dm² of paper is sufficient for gluing a box without a lid with bottom dimensions of 2 dm and 15 cm and 12 cm high. Write result as: 0 = No, 1 = Yes
• Cuboid box
  How many m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm and 30 cm? To the folds add one-tenth the area.
• Surface area
  Calculate the surface area of a four-sides 2-m high prism which base is a rectangle with sides 17 cm and 1.3 dm
• Paper box
  Calculate how much we'll pay for a three-side shaped prism box with a triangular base, and if it measures 12cm and 1.6dm, the hypotenuse measures 200mm. The box is 34cm high. We pay 0,13 € per square meter of paper.
• 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?
• Box
  Cardboard box-shaped quadrangular prism with a rhombic base. Rhombus has a side 5 cm, and one diagonal 8 cm long, and the box's height is 12 cm. The box will open at the top. How many cm² of cardboard do we need to cover overlap and joints that are 5% of
• Square prism
  Calculate the volume of a square prism of high 2 dm wherein the base is: rectangle with sides 17 cm and 1.3 dm
• Prism 4 sides
  Find the surface area and volume four-sided prism high 10cm if its base is a rectangle measuring 8 cm and 1.2dm
• Two rectangular boxes
  Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and 5 cm, 12 cm, 1 dm are to be replaced by a single cube box of the same cubic volume. Calculate its surface.
• The surface
  The cuboid's surface area is 1714 cm², the edges of the base are 25 cm and 14 cm long. Find the area of the surface.
• Glass aquarium
  How many m² of glass are needed to produce aquarium with bottom dimensions of 70 cm x 40 cm and 50 cm high?
• Paper box
  Calculate the consumption of paper on the box-shaped quadrangular prism with rhombic footstall, base edge a=6 cm and the adjacent base edges forms an angle alpha = 60 °. Box height is 10 cm. How many m² of the paper consumed 100 such boxes?
• Prism
  Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm.
• The gift
  How much wrapping paper is needed to wrap a cube-shaped gift with edge measuring 15 cm?
• Tetrapack
  How high should be the milk box in the shape of a prism with base dimensions 8 cm and 8.8 cm if its volume is 1 liter?
• Cutting the prism
  A prism with a square base with a content of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the surface of the body formed from the cube after cutting the prism?
• Cuboid box
  Cuboid box have dimensions of 30 cm, 25 cm and 40 cm. Sketch its network and compute surface area of box.