Calculate

Calculate the surface of a regular quadrilateral prism whose base edge is 2.4dm and the height of the prism is 38cm.

Correct answer:

S =  4800 cm²

Step-by-step explanation:

$$\begin{gathered} a=2.4\text{ dm}\to \text{ cm}=2.4\cdot 10\text{ cm}=24\text{ cm } \\ c=38\text{ cm } \\ S=2\cdot a^2+4\cdot a\cdot c=2\cdot 24^2+4\cdot 24\cdot 38=4800{\text{cm}}^2 \end{gathered}$$

Try another example

Related math problems and questions:

• Quadrilateral prism
  Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m², length of the base edge a = 14 dm, height of the prism 1,500 mm.
• 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
• 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
• 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
• Quadrilateral prism
  The surface of the regular quadrilateral prism is 8800 cm², the base edge is 20 cm long. Calculate the volume of the prism
• 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.
• Truncated pyramid
  The concrete pedestal in the shape of a regular quadrilateral truncated pyramid has a height of 12 cm, the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base.
• 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
• Find the
  Find the volume of a quadrangle prism high 2dm whose base is a square with a side 15cm.
• Trapezoidal base
  Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, height of trapezium v = 3.7 cm and the height of the prism h = 5 cm.
• Hexaprism container
  Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m with a base edge of 3dm and a corresponding height of 2.6 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.
• Regular triangular prism
  Calculate the surface area of body of regular triangular prism, when the length of its base edge is 6.5 cm and height 0.2 m.
• Triangular prism
  Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm. ..Va = 4 dm. (base edge length and base triangle height length) ... ... .v = 23 dm (body height)
• Regular prism
  The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume.
• Largest wall
  Find the content of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm.
• The quadrilateral pyramid
  The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.