*ANSWER PLEASE, NEED HELP* A rectangular pyramid is intersected by a plane to create the frustum shown.

*ANSWER PLEASE, NEED HELP* A rectangular pyramid is intersected by a plane to create the frustum shown. If the height of the original pyramid is 14 m, what is the volume of the frustum?


[tex]*ANSWER PLEASE, NEED HELP* A rectangular pyramid is intersected by a plane to create the frustum sh[/tex]

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  1. volume of a pyramid is [tex]\frac{lbh}3[/tex]

    and frustum is actually, the top portion, i.e. a smaller pyramid taken out of the actual pyramid. so if we subtract that volume from the original volume

    the leftover will be the volume of frustum

    height of original pyramid is 14 and that of the remaining frustum is 8. so the height of smaller pyramid will be [tex]14-8=6[/tex]

    you can see the respective dimensions marked in the figure.

    so the answer will be [tex]{12\times 6\times 14 \over 3} - { 4\times 10 \times 6 \over 3}[/tex] which is

    24*14-80=256 m³

  2. volume of a pyramid is [tex]\frac{lbh}3[/tex]

    and frustum is actually, the top portion, i.e. a smaller pyramid taken out of the actual pyramid. so if we subtract that volume from the original volume

    the leftover will be the volume of frustum

    height of original pyramid is 14 and that of the remaining frustum is 8. so the height of smaller pyramid will be [tex]14-8=6[/tex]

    you can see the respective dimensions marked in the figure.

    so the answer will be [tex]{12\times 6\times 14 \over 3} - { 4\times 10 \times 6 \over 3}[/tex] which is

    24*14-80=256 m³

  3. n = - [tex]\frac{13}{8}[/tex]

    Step-by-step explanation:

    Given

    - 8n = 13 ( divide both sides by - 8 )

    n = [tex]\frac{13}{-8}[/tex] = - [tex]\frac{13}{8}[/tex]

  4. 52 cm^2

    Step-by-step explanation:

    Solve by splitting the figures into 2 parts and finding their areas separately:

    Rectangle:

    8 × 5 = 40

    Triangle:

    1/2 × b × h = 1/2 × 8 × 3 = 4 × 3 = 12

    Total: 40 + 12 = 52

  5. q < 5

    Step-by-step explanation:

    Since there is an open circle it means there is no equal sign

    The line goes to the left so it is less then q < 5

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