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

Correct answer:

S =  592 cm²
V =  960 cm³

Step-by-step explanation:

$$\begin{gathered} c=10\text{ cm } \\ a=8\text{ cm } \\ b=1.2\text{ dm}\to \text{ cm}=1.2\cdot 10\text{ cm}=12\text{ cm } \\ S=2\cdot (a\cdot b+b\cdot c+a\cdot c)=2\cdot (8\cdot 12+12\cdot 10+8\cdot 10)=592{\text{cm}}^2 \end{gathered}$$

$V=a\cdot b\cdot c=8\cdot 12\cdot 10=960{\text{cm}}^3$

Try another example

Related math problems and questions:

• 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
• 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
  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 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.
• Regular prism
  The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume.
• Hexagonal prism
  Calculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2cm and the height of the prism h = 1 dm.
• Calculate
  Calculate the surface of a regular eleven-sided prism; if the area of its base is 58 cm², the edge of the base is 6cm long, the height of the prism is 21 cm.
• Surface and volume
  Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm.
• Volume and surface area
  Find the volume and surface of a wooden block with dimensions: a = 8 cm, b = 10 cm, c = 16 cm.
• Prism - box
  The base of prism is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism.
• 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
• Triangular prism
  Calculate a triangular prism if it has a rectangular triangle base with a = 4cm and hypotenuse c = 50mm and height of the prism is 0.12 dm.
• Surface and volume od cuboid
  Content area of the square base of cuboid is Sp = 36 cm² and its height 80 mm. Determine its surface area and volume.
• Four prisms
  Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
• Surface of cuboid
  Find the surface of the cuboid if its volume is 52.8 cm³ and the length of its two edges is 2 cm and 6 cm.
• Flowerpot
  The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
• Calculate
  Calculate the surface of a regular quadrilateral prism whose base edge is 2.4dm and the height of the prism is 38cm.