the base of a prism is an equlateral triangle of perimetre 21 centimetres and its height 6 cm what is its total surface area​

the base of a prism is an equlateral triangle of perimetre 21 centimetres and its height 6 cm what is its total surface area​

2 thoughts on “the base of a prism is an equlateral triangle of perimetre 21 centimetres and its height 6 cm what is its total surface area​”

  1. Answer:

    Given: the base is a right angled triangle with sides a=6cm, b=8cm, c=10cm and T.S.A=156cm

    2

    . We know that

    T.S.A.=2B+Ph=2×

    2

    1

    ×8×6+(6+8+10)h=48+24h.

    Thus 48+24h=156. This implies that 24h=156−48=108.

    Hence h=

    24

    108

    =4.5cm.

    Therefore LSA=Ph=(6+8+10)×4.5=24×4.5=108cm

    2

    .

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