GCSE; AQA; 3-dimensional shapes - AQA Volume and surface area. 3-dimensional shapes have faces, edges and vertices and can be viewed from different points. Part of Maths Geometry and measure
5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Further Maths; GCSE Revision; Revision Cards; Books; Surface Area Questions. Surface Area of a Cuboid. Click here for Questions and Answers. Surface Area of a Prism. Click here for Questions and Answers. Surface Area of a Cylinder. Click here for Questions and Answers.
Calculate the curved surface area of the cone using the formula, Calculate the curved surface area of a hemisphere using the formula for the curved surface area of a sphere, and dividing it by 2. Add the two areas together to find the total surface area of the toy. Evaluate on your calc and round to 3 significant figures. 346 cm 2 (3 s.f.)
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Let’s explore the various 3D shapes you are likely to encounter and explain how to calculate their surface area and volume. The surface area is the total area that covers a 3D shape. It is measured in square units (e.g., cm 2). To find the surface area, you need to calculate the area of each face and then add them all together.
Learn how to calculate volume and surface area in GCSE Maths with formulas, step-by-step examples, and practice questions. Perfect for exam revision!
In the previous part you have learned how to calculate the area of various polygons. The next step is to calculate the surface area of 3-D figures! This is nothing to worry about for all you have to do is calculate the area of all individual faces (sides) and add them all up at the end. However, many students make mistakes when doing so.
The document is a GCSE Maths revision worksheet focused on calculating surface area through various exercises and exam questions. It includes problems involving shapes like biscuits, tents, cones, and boxes, requiring students to compute surface areas and related costs. Additionally, it emphasizes practical applications, such as cleaning and construction scenarios.
The formula to find the surface area of a cone: Pyramids. To find the surface area of a pyramid once again, work out the area of each face and add them together. A square based pyramid has: Square base: 5 x 5. 4 x triangle: 4(15 x 5 x 1/2) Added together = 150 cm 2. Prisms. Cubes: To work out the surface area of a cube, work out the area of one ...
The surface area of a 3D shape is the total area of all its surfaces. For a shape with only flat faces, calculate the area of each face individually then add them together. GCSE. GCSE Biology Revision GCSE Chemistry Revision GCSE Physics Revision GCSE Geography Revision GCSE English Language Revision GCSE Computer Science Revision.
Calculate the surface area of a cuboid which has sides 4 cm, 6 cm and 10 cm. 3. Calculate the volume of a cylinder of height 12 cm and radius 6 cm. 4. Calculate the surface area of a cylinder of radius 3 ... GCSE (9-1) Mathematics,10.04 Volume and Surface Area Created Date: 5/14/2015 12:19:48 PM ...
Surface area of a sphere. The surface area formula for a sphere is 4 x π x (diameter / 2) 2, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4 x π x radius 2.Visual on the figure below: A sphere's surface area can be calculated just by knowing its diameter, or radius (diameter = 2 x radius). π is, of course, the well-known mathematical constant ...
The curved surface area of a cone, A, with radius, r, perpendicular height, h, and sloping edge, l, can be found using the formula. This formula is given to you in the exam if it is needed. The total surface area of a cone, A Total, can be found using the formula. This formula is not given to you in the exam It is just the curved surface area formula above, plus the area of a circle
The volume of a prism = the area of the cross-section × the length. So, for example, the volume of a cylinder = pr² × length. Areas: The area of a triangle = half × base × height The area of a circle = pr² (r is the radius of the circle) The area of a parallelogram = base × height
Maths revision video and notes on the topic of finding the surface area of 3D shapes.
GCSE Maths revision resource follows a building house structure. To be able to access the harder problem solving questions students must be secure in the foundations. Foundations It starts with simple areas of shapes, as well as some circumference and area of a circle. Walls Basic Surface Area Examples with step by step solutions
In order to calculate the total surface area of a cone we need to find the area of the two parts of the surface of the cone and add them together. There is a curved surface area and a circular base. (The curved surface area of a cone is sometimes referred to as the lateral surface area of a cone).
The collection of resources is designed to help you prepare to teach our GCSE Maths to post-16 resit students. They'll help you to reinforce and develop GCSE Maths skills across all curriculum areas. Although originally designed with post-16 teaching in mind, these resources can still be useful in preparing any students for GCSE Maths.
Help your students to prepare for the GCSE maths exam with these exam style Geometry questions on how to calculate surface area. Suitable for Edexcel, AQA and OCR. Topic specific exam questions modelled on real life GCSE maths papers; Detailed mark schemes and answers are included; Covers a variety of exam question types on how to calculate ...