This math topic primarily focuses on calculating the surface area of various 3D shapes including rectangular pyramids, cones, spheres, and cylinders. Each question presents an image of a 3D shape followed by multiple choice answers for the corresponding surface area formula. The problems aim to enhance the student's ability to visually identify 3D shapes and to apply the correct formulas to calculate their surface areas. Additionally, the topic involves comprehension and application of geometric formulas in practical scenarios.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

Surface Area - All - Image to Formula Worksheet

Mobius Math Academy logo
Math worksheet on 'Surface Area - All - Image to Formula (Level 1)'. Part of a broader unit on 'Geometry - Volume and Surface Area of Complex 3D Shapes - Intro' Learn online: app.mobius.academy/math/units/geometry_cylinders_intro/
1
An svg image showing a math problem
What is the formula for the surface area of this Rectangular Pyramid?
a A LaTex expression showing SA = Pi r (r + square root of h to the power of 2 + r to the power of 2 )
b A LaTex expression showing SA = lw + l square root of (w over 2 ) to the power of 2 + h to the power of 2 + w square root of (l over 2 ) to the power of 2 + h to the power of 2
2
An svg image showing a math problem
What is the formula for the surface area of this Rectangular Pyramid?
a A LaTex expression showing SA = lw + l square root of (w over 2 ) to the power of 2 + h to the power of 2 + w square root of (l over 2 ) to the power of 2 + h to the power of 2
b A LaTex expression showing SA = Pi r (r + square root of h to the power of 2 + r to the power of 2 )
3
An svg image showing a math problem
What is the formula for the surface area of this Cone?
a A LaTex expression showing SA = 1 over 3 h Pi r to the power of 2
b A LaTex expression showing SA = Pi r (r + square root of h to the power of 2 + r to the power of 2 )
4
An svg image showing a math problem
What is the formula for the surface area of this Cone?
a A LaTex expression showing SA = lw + l square root of (w over 2 ) to the power of 2 + h to the power of 2 + w square root of (l over 2 ) to the power of 2 + h to the power of 2
b A LaTex expression showing SA = Pi r (r + square root of h to the power of 2 + r to the power of 2 )
5
An svg image showing a math problem
What is the formula for the surface area of this Sphere?
a A LaTex expression showing SA = Pi r (r + square root of h to the power of 2 + r to the power of 2 )
b A LaTex expression showing SA = 4 Pi r to the power of 2
6
An svg image showing a math problem
What is the formula for the surface area of this Cone?
a A LaTex expression showing SA = Pi r (r + square root of h to the power of 2 + r to the power of 2 )
b A LaTex expression showing SA = 2 Pi r h + 2 Pi r to the power of 2
7
An svg image showing a math problem
What is the formula for the surface area of this Cylinder?
a A LaTex expression showing SA = Pi r to the power of 2 h
b A LaTex expression showing SA = 2 Pi r h + 2 Pi r to the power of 2