solid mensuration

The base of a right prism is a rhombus whose sides are 12 inch and whose longer diagonal is 15 inch. Find its volume.

  1. 👍 0
  2. 👎 0
  3. 👁 138
asked by nika

  1. volume = base x height

    area of base:
    construct a right angled triangle by drawing an altiude to the longer diagonal.
    x^2 + 36 = 144
    x = √108
    there are 4 congruent right-angled triangles
    area of base = 4((1/2)(6)(√108)
    = 12√108

    volume = 12√108 h
    once you find out what the h is, you didn't state it, you can surely finish it.

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. solid mensuration

    The base of a right prism is a rhombus whose sides are 20cm and the shorter diagonal is 24in..find the area pls.

    asked by leo on May 12, 2011

  2. Math

    The base of the right prism is a rhombus with the side 7 cm. The altitude of the prism is h=13 cm. Find the lateral area of the prism.

    asked by Anonymous on May 13, 2017

  3. geometry

    Can anyone help me to solve this, please? A right prism has a polygonal base with n sides. Each side has a length of 5 in. The altitude of the prism is 20 in. If the base had n+1 sides, each still having a side of length 5 in, by

    asked by scott on August 23, 2011

  4. math

    thanks anyone! A right prism has a polygonal base with n sides. Each side has a length of 5 in. The altitude of the prism is 20 in. If the base had n+1 sides, each still having a side of length 5 in, by how much, in square inches,

    asked by scott on August 23, 2011

  5. geometry

    the base of a right prism is a rhombus whose diagonals are 6 in and 8 in. The altitude of the prism measures 10 in. Find the lateral area and the total area of the prism.

    asked by Nico on March 13, 2010

  6. Geometry

    The base of a right prism is a rhombus with a side of 10 cm and an altitude of 9.6 cm. Find the diagonals of the prism if the altitude of the prism is 12 cm.

    asked by Mark on June 24, 2015

  7. Math Urgent

    1. A hexagonal prism 6ft tall with a regular base measuring 9ft on each and an apothegm of length 7.8ft. 2. A prism 2m tall. The base is trapezoid whose parallel sides measure 7m and 3m. The other sides are each 4m. The altitude

    asked by Vecchi on June 26, 2016

  8. Math

    Malia puts together six 4-by-4-by-1 inch square layers with 1-inch cubes, then stacks them up to form a rectangular prism. This prism rests on a wooden table, on its square base. All the 1-inch cubes Malia used are white except

    asked by Nate Williams on May 12, 2013

  9. Math

    a) One mould forms a sculpture that is a composite object comprising a right cylinder with base diameter 15 in. and height 3 in., and a right cone with the same base diameter as the base of the cylinder and a height of 9 in.

    asked by Anonymous on October 25, 2014

  10. math

    the base of a solid right prism is a triangle whose sides are 9 cm,12cm,15cm. the height of the prism is 5 cm. then find the total surface area of the prism is?

    asked by rati on February 27, 2014

More Similar Questions