Photo AI

Work out the surface area of the cuboid - OCR - GCSE Maths - Question 12 - 2023 - Paper 1

Question icon

Question 12

Work-out-the-surface-area-of-the-cuboid-OCR-GCSE Maths-Question 12-2023-Paper 1.png

Work out the surface area of the cuboid. The dimensions of the cuboid are: - Length = 6 cm - Width = 4 cm - Height = 5 cm

Worked Solution & Example Answer:Work out the surface area of the cuboid - OCR - GCSE Maths - Question 12 - 2023 - Paper 1

Step 1

Calculate the surface area of the cuboid

96%

114 rated

Answer

The surface area (SA) of a cuboid can be calculated using the formula:

SA=2(lw+lh+wh)SA = 2(lw + lh + wh)

Where:

  • ll = Length = 6 cm
  • ww = Width = 4 cm
  • hh = Height = 5 cm

Substituting the values into the formula:

SA=2((6imes4)+(6imes5)+(4imes5))SA = 2((6 imes 4) + (6 imes 5) + (4 imes 5))

Calculating each term:

  • lw=6imes4=24lw = 6 imes 4 = 24 cm²
  • lh=6imes5=30lh = 6 imes 5 = 30 cm²
  • wh=4imes5=20wh = 4 imes 5 = 20 cm²

Now, summing these values:

24+30+20=7424 + 30 + 20 = 74

Finally, multiplying by 2:

SA=2imes74=148SA = 2 imes 74 = 148

Thus, the surface area of the cuboid is 148 cm².

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

Other GCSE Maths topics to explore

Number Toolkit

Maths - Edexcel

Prime Factors, HCF & LCM

Maths - Edexcel

Powers, Roots & Standard Form

Maths - Edexcel

Simple & Compound Interest, Growth & Decay

Maths - Edexcel

Fractions, Decimals & Percentages

Maths - Edexcel

Rounding, Estimation & Bounds

Maths - Edexcel

Surds

Maths - Edexcel

Algebraic Roots & Indices

Maths - Edexcel

Expanding Brackets

Maths - Edexcel

Factorising

Maths - Edexcel

Completing the Square

Maths - Edexcel

Algebraic Fractions

Maths - Edexcel

Rearranging Formulae

Maths - Edexcel

Algebraic Proof

Maths - Edexcel

Linear Equations

Maths - Edexcel

Solving Quadratic Equations

Maths - Edexcel

Simultaneous Equations

Maths - Edexcel

Iteration

Maths - Edexcel

Forming & Solving Equations

Maths - Edexcel

Functions

Maths - Edexcel

Coordinate Geometry

Maths - Edexcel

Estimating Gradients & Areas under Graphs

Maths - Edexcel

Real-Life Graphs

Maths - Edexcel

Transformations of Graphs

Maths - Edexcel

Sequences

Maths - Edexcel

Direct & Inverse Proportion

Maths - Edexcel

Standard & Compound Units

Maths - Edexcel

Exchange Rates & Best Buys

Maths - Edexcel

Geometry Toolkit

Maths - Edexcel

Angles in Polygons & Parallel Lines

Maths - Edexcel

Bearings, Scale Drawing, Constructions & Loci

Maths - Edexcel

Area & Perimeter

Maths - Edexcel

Right-Angled Triangles - Pythagoras & Trigonometry

Maths - Edexcel

Sine, Cosine Rule & Area of Triangles

Maths - Edexcel

Vectors

Maths - Edexcel

Transformations

Maths - Edexcel

Scatter Graphs & Correlation

Maths - Edexcel

Statistics

Maths - Edexcel

Ratio Analysis and Problem Solving

Maths - Edexcel

Inequalities

Maths - Edexcel

Volume, Area & Surface Area

Maths - Edexcel

The Circle

Maths - Edexcel

Probability

Maths - Edexcel

Trigonometry

Maths - Edexcel

Growth & Decay

Maths - Edexcel

Outliers

Maths - Edexcel

;