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A rectangular pyramid has a base area of...

A rectangular pyramid has a base area of `56 cm^2` and a volume of `224 cm^2`. What is the height of the pyramid ?

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To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid: **Step 1: Write down the formula for the volume of a pyramid.** The volume \( V \) of a pyramid is given by the formula: \[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \] ...
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Knowledge Check

  • Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular (or sometimes trapezoidal) sides meeting at an apex (or truncated to form a platform). Pyramids have been built at various times in Egypt, Sudan, Ethiopia, western Asia, Greece, Cyprus, Italy, India, Thailand, Mexico, South America, and on some islands of the Pacific Ocean. Those of Egypt and of Central and South America are the best known. The volume and surface area of a pyramid with a square base of area a^(2) and height h is given by V= (ha^(2))/( 3) and S = a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2)) A powerful crystal pyramid has a square base and a volume of 3y^(3) +18y^(2) +27y cubic units. What is the height of pyramid at above area of base ?

    A
    4 metre
    B
    6 metre
    C
    5 metre
    D
    12 metre

  • All five faces of a regular pyramid with a square base are found to be of the same area. The height of the pyramid is 3 cm. The total area of all its surfaces (in cm^(2) ) is

    A
    8
    B
    10
    C
    12
    D
    16

  • Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular (or sometimes trapezoidal) sides meeting at an apex (or truncated to form a platform). Pyramids have been built at various times in Egypt, Sudan, Ethiopia, western Asia, Greece, Cyprus, Italy, India, Thailand, Mexico, South America, and on some islands of the Pacific Ocean. Those of Egypt and of Central and South America are the best known. The volume and surface area of a pyramid with a square base of area a^(2) and height h is given by V= (ha^(2))/( 3) and S = a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2)) A powerful crystal pyramid has a square base and a volume of 3y^(3) +18y^(2) +27y cubic units. What is surface area of pyramid ?

    A
    800 square unit
    B
    2400 square unit
    C
    1200 square unit
    D
    1600 square unit

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    Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular (or sometimes trapezoidal) sides meeting at an apex (or truncated to form a platform). Pyramids have been built at various times in Egypt, Sudan, Ethiopia, western Asia, Greece, Cyprus, Italy, India, Thailand, Mexico, South America, and on some islands of the Pacific Ocean. Those of Egypt and of Central and South America are the best known. The volume and surface area of a pyramid with a square base of area a^(2) and height h is given by V= (ha^(2))/( 3) and S = a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2)) A powerful crystal pyramid has a square base and a volume of 3y^(3) +18y^(2) +27y cubic units. What is ratio of length of side to the height ?

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