Mathematics
Grade9
Easy

Question

A pyramid has a square base. Each side of the base is 12 cm. The slant height of each triangle is 14 cm. Find the surface area.

  1. 535 cm2
  2. 535.2 cm2
  3. 560 cm2
  4. 535.9 cm2

hintHint:

The surface area of Pyramid = B space plus space 1 half space cross times space P l space where p is the perimeter of the base , B is area of the base and l is the slant height of the pyramid.

The correct answer is: 535.2 cm2


    Given, Each side of the square base is 12 cm. The slant height of each triangle is 14 cm.
    T h e space p e r i m e t e r space o f space b a s e space equals space 4 space x space 12 space equals space 48 space c m
T h e space a r e a space o f space t h e space b a s e space i s space 12 squared space equals space 144 space c m squared
U s e space t h e space s u r f a c e space a r e a space f o r m u l a comma space
S u r f a c e space a r e a space equals space B space plus space 1 half space cross times space P l
S. A space equals space 144 space plus 1 half space space left parenthesis 48 right parenthesis left parenthesis 16.3 right parenthesis space space equals space 144 space plus 391.2
equals 535.2 space c m squared
    Therefore, the surface area of the pyramid is 535.2 square centimeters.

    Related Questions to study

    Grade9
    Mathematics

    An oblique cylinder has a radius of 2.6 units and a slant length of 5.2 units. Find the volume of the cylinder.

    An oblique cylinder has a radius of 2.6 units and a slant length of 5.2 units. Find the volume of the cylinder.

    MathematicsGrade9
    Grade9
    Mathematics

    A box held 8 cubic inches of space inside. If the length was 2 inches and the height measured 2 inches, find the box’s width.

    A box held 8 cubic inches of space inside. If the length was 2 inches and the height measured 2 inches, find the box’s width.

    MathematicsGrade9
    Grade9
    Mathematics

    An oblique cylinder has a radius of 10 units and a slant length of 26 units. Find the volume of the cylinder.

    An oblique cylinder has a radius of 10 units and a slant length of 26 units. Find the volume of the cylinder.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    The volume of this box is 120 in3


    Length = 10 in
    Width = 4 in
    Calculate the Height.
     

    The volume of this box is 120 in3


    Length = 10 in
    Width = 4 in
    Calculate the Height.
     

    MathematicsGrade9
    Grade9
    Mathematics

    An oblique cylinder has a radius of 2 units and a slant length of 10 units. Find the volume of the cylinder.

    An oblique cylinder has a radius of 2 units and a slant length of 10 units. Find the volume of the cylinder.

    MathematicsGrade9
    Grade9
    Mathematics

    If a cone with a diameter of 10 meters has a lateral area of 211.95 square meters, find its slant height.

    If a cone with a diameter of 10 meters has a lateral area of 211.95 square meters, find its slant height.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    A box held 12 cubic inches of space inside. If the length was 1.5 inches and the height measured 3.2 inches, find the box’s width.

    A box held 12 cubic inches of space inside. If the length was 1.5 inches and the height measured 3.2 inches, find the box’s width.

    MathematicsGrade9
    Grade9
    Mathematics

    Find the LENGTH of this rectangular prism.

    Find the LENGTH of this rectangular prism.

    MathematicsGrade9
    Grade9
    Mathematics

    An oblique cylinder has a radius of 2 units and a slant length of 4 units. Find the volume of the cylinder.

    An oblique cylinder has a radius of 2 units and a slant length of 4 units. Find the volume of the cylinder.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    A box held 387.45 cubic inches of space inside. If the length was 6.3 inches and the width measured 8.2 inches, find the box’s height.

    A box held 387.45 cubic inches of space inside. If the length was 6.3 inches and the width measured 8.2 inches, find the box’s height.

    MathematicsGrade9
    Grade9
    Mathematics

    Find the WIDTH of this rectangular prism.

    Find the WIDTH of this rectangular prism.

    MathematicsGrade9
    Grade9
    Mathematics

    An oblique cylinder has a radius of 1 unit and a slant length of 2 units. Find the volume of the cylinder.

    An oblique cylinder has a radius of 1 unit and a slant length of 2 units. Find the volume of the cylinder.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    A box held 1800 cubic inches of space inside. If the length was 12 inches and the width measured 15 inches, the box’s height is ________________.

    A box held 1800 cubic inches of space inside. If the length was 12 inches and the width measured 15 inches, the box’s height is ________________.

    MathematicsGrade9
    Grade9
    Mathematics

    Find the HEIGHT of this rectangular prism.

    Find the HEIGHT of this rectangular prism.

    MathematicsGrade9
    Grade9
    Mathematics

    A box held 30 cubic inches of space inside. If the length was 5 inches and the width measured 3 inches, identify the box’s height.

    A box held 30 cubic inches of space inside. If the length was 5 inches and the width measured 3 inches, identify the box’s height.

    MathematicsGrade9
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.