Prism - box

The prism's base 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.

Your answer:

Help us improve! If you spot a mistake, please let let us know. Thank you!

Tips for related online calculators

See also our right triangle calculator.
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

algebra

rearrange variables

arithmetic

square root

solid geometry

cuboid
surface area

planimetry

Pythagorean theorem
right triangle
area of a shape
triangle
diagonal

Units of physical quantities

unit conversion
volume
length

Grade of the word problem

practice for 13 year olds
practice for 14 year olds

We encourage you to watch this tutorial video on this math problem: video1 video2

Related math problems and questions:

Prism
The volume of a tetrahedral prism is 2.43 m³. The prism's base is a parallelogram with a side of 2,5 dm and height ha = 18 cm. Calculate the height of the prism.
Prism
Find a prism's volume and surface area with a base of an equilateral triangle with a side of 7 dm long and a body height of 1.5 m.
Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u₁ = 17 cm and u₂ = 14 cm. The prism height is twice the base edge length.
Prism height calculation
Calculate the height of the vertical prism with the rectangle's base if the dimensions of the edges of the floor are a = 12 dm, b = 50 mm, and the prism's volume V = 0.6 l.
Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism.
Diamond prism
The prism's base is a diamond with a side length of 6 cm and a height of 4 cm. The height of the prism is 125% greater than the length of the side of the diamond. Calculate the surface area and volume of the prism.
Quadrilateral prism
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm², the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle)